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Finding the Fourth Proportional to 537,657,529.40, 806,486,294.10 and 537,657,529.40

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Solution

The fourth proportional to 537,657,529.40, 806,486,294.10 and 537,657,529.40 is: 806,486,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,657,529.40 : 806,486,294.10 = 537,657,529.40 : x
  2. Step 2: Convert to fraction form
    537,657,529.40/806,486,294.10 = 537,657,529.40/x
  3. Step 3: Cross multiply
    537,657,529.40x = 806,486,294.10 × 537,657,529.40
  4. Step 4: Simplify right side
    537,657,529.40x = 433,613,428,380,767,808
  5. Step 5: Solve for x
    x = 433,613,428,380,767,808/537,657,529.40
  6. Step 6: Final answer
    x = 806,486,294.10

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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.