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Finding the Fourth Proportional to 289,165,824,000.60, 433,748,736,000.90 and 289,165,824,000.60

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Solution

The fourth proportional to 289,165,824,000.60, 433,748,736,000.90 and 289,165,824,000.60 is: 433,748,736,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,165,824,000.60 : 433,748,736,000.90 = 289,165,824,000.60 : x
  2. Step 2: Convert to fraction form
    289,165,824,000.60/433,748,736,000.90 = 289,165,824,000.60/x
  3. Step 3: Cross multiply
    289,165,824,000.60x = 433,748,736,000.90 × 289,165,824,000.60
  4. Step 4: Simplify right side
    289,165,824,000.60x = 125,425,310,654,918,951,960,576
  5. Step 5: Solve for x
    x = 125,425,310,654,918,951,960,576/289,165,824,000.60
  6. Step 6: Final answer
    x = 433,748,736,000.90

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.