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Finding the Fourth Proportional to 521,732,031.40, 731,499,798.20 and 521,732,031.40

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Solution

The fourth proportional to 521,732,031.40, 731,499,798.20 and 521,732,031.40 is: 731,499,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,732,031.40 : 731,499,798.20 = 521,732,031.40 : x
  2. Step 2: Convert to fraction form
    521,732,031.40/731,499,798.20 = 521,732,031.40/x
  3. Step 3: Cross multiply
    521,732,031.40x = 731,499,798.20 × 521,732,031.40
  4. Step 4: Simplify right side
    521,732,031.40x = 381,646,875,683,576,064
  5. Step 5: Solve for x
    x = 381,646,875,683,576,064/521,732,031.40
  6. Step 6: Final answer
    x = 731,499,798.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.