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Finding the Fourth Proportional to 502,000,713,087.40, 753,001,069,631.10 and 502,000,713,087.40

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Solution

The fourth proportional to 502,000,713,087.40, 753,001,069,631.10 and 502,000,713,087.40 is: 753,001,069,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,000,713,087.40 : 753,001,069,631.10 = 502,000,713,087.40 : x
  2. Step 2: Convert to fraction form
    502,000,713,087.40/753,001,069,631.10 = 502,000,713,087.40/x
  3. Step 3: Cross multiply
    502,000,713,087.40x = 753,001,069,631.10 × 502,000,713,087.40
  4. Step 4: Simplify right side
    502,000,713,087.40x = 378,007,073,910,387,162,218,496
  5. Step 5: Solve for x
    x = 378,007,073,910,387,162,218,496/502,000,713,087.40
  6. Step 6: Final answer
    x = 753,001,069,631.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.