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Finding the Fourth Proportional to 723,837,376, 998,815,652.16 and 406,224,774.40

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Solution

The fourth proportional to 723,837,376, 998,815,652.16 and 406,224,774.40 is: 560,545,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,837,376 : 998,815,652.16 = 406,224,774.40 : x
  2. Step 2: Convert to fraction form
    723,837,376/998,815,652.16 = 406,224,774.40/x
  3. Step 3: Cross multiply
    723,837,376x = 998,815,652.16 × 406,224,774.40
  4. Step 4: Simplify right side
    723,837,376x = 405,743,662,965,884,864
  5. Step 5: Solve for x
    x = 405,743,662,965,884,864/723,837,376
  6. Step 6: Final answer
    x = 560,545,333.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.