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Finding the Fourth Proportional to 414,991,384.85, 572,952,233.82 and 258,588,264.53

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Solution

The fourth proportional to 414,991,384.85, 572,952,233.82 and 258,588,264.53 is: 357,016,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,991,384.85 : 572,952,233.82 = 258,588,264.53 : x
  2. Step 2: Convert to fraction form
    414,991,384.85/572,952,233.82 = 258,588,264.53/x
  3. Step 3: Cross multiply
    414,991,384.85x = 572,952,233.82 × 258,588,264.53
  4. Step 4: Simplify right side
    414,991,384.85x = 148,158,723,799,235,840
  5. Step 5: Solve for x
    x = 148,158,723,799,235,840/414,991,384.85
  6. Step 6: Final answer
    x = 357,016,384.46

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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.