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Finding the Fourth Proportional to 537,687,368.10, 806,531,052.15 and 537,687,368.10

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Solution

The fourth proportional to 537,687,368.10, 806,531,052.15 and 537,687,368.10 is: 806,531,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,687,368.10 : 806,531,052.15 = 537,687,368.10 : x
  2. Step 2: Convert to fraction form
    537,687,368.10/806,531,052.15 = 537,687,368.10/x
  3. Step 3: Cross multiply
    537,687,368.10x = 806,531,052.15 × 537,687,368.10
  4. Step 4: Simplify right side
    537,687,368.10x = 433,661,558,721,457,344
  5. Step 5: Solve for x
    x = 433,661,558,721,457,344/537,687,368.10
  6. Step 6: Final answer
    x = 806,531,052.15

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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.