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Finding the Fourth Proportional to 289,159,344,007.60, 433,739,016,011.40 and 289,159,344,007.60

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Solution

The fourth proportional to 289,159,344,007.60, 433,739,016,011.40 and 289,159,344,007.60 is: 433,739,016,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,159,344,007.60 : 433,739,016,011.40 = 289,159,344,007.60 : x
  2. Step 2: Convert to fraction form
    289,159,344,007.60/433,739,016,011.40 = 289,159,344,007.60/x
  3. Step 3: Cross multiply
    289,159,344,007.60x = 433,739,016,011.40 × 289,159,344,007.60
  4. Step 4: Simplify right side
    289,159,344,007.60x = 125,419,689,340,358,340,116,480
  5. Step 5: Solve for x
    x = 125,419,689,340,358,340,116,480/289,159,344,007.60
  6. Step 6: Final answer
    x = 433,739,016,011.40

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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.