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Finding the Fourth Proportional to 521,732,030.40, 731,499,796.80 and 521,732,030.40

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Solution

The fourth proportional to 521,732,030.40, 731,499,796.80 and 521,732,030.40 is: 731,499,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,732,030.40 : 731,499,796.80 = 521,732,030.40 : x
  2. Step 2: Convert to fraction form
    521,732,030.40/731,499,796.80 = 521,732,030.40/x
  3. Step 3: Cross multiply
    521,732,030.40x = 731,499,796.80 × 521,732,030.40
  4. Step 4: Simplify right side
    521,732,030.40x = 381,646,874,221,651,392
  5. Step 5: Solve for x
    x = 381,646,874,221,651,392/521,732,030.40
  6. Step 6: Final answer
    x = 731,499,796.80

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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.