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Finding the Fourth Proportional to 289,165,824,000.10, 433,748,736,000.16 and 289,165,824,000.10

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Solution

The fourth proportional to 289,165,824,000.10, 433,748,736,000.16 and 289,165,824,000.10 is: 433,748,736,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,165,824,000.10 : 433,748,736,000.16 = 289,165,824,000.10 : x
  2. Step 2: Convert to fraction form
    289,165,824,000.10/433,748,736,000.16 = 289,165,824,000.10/x
  3. Step 3: Cross multiply
    289,165,824,000.10x = 433,748,736,000.16 × 289,165,824,000.10
  4. Step 4: Simplify right side
    289,165,824,000.10x = 125,425,310,654,488,079,499,264
  5. Step 5: Solve for x
    x = 125,425,310,654,488,079,499,264/289,165,824,000.10
  6. Step 6: Final answer
    x = 433,748,736,000.16

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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.