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Finding the Fourth Proportional to 517,428,672.30, 776,143,008.45 and 415,392,000.30

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Solution

The fourth proportional to 517,428,672.30, 776,143,008.45 and 415,392,000.30 is: 623,088,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,428,672.30 : 776,143,008.45 = 415,392,000.30 : x
  2. Step 2: Convert to fraction form
    517,428,672.30/776,143,008.45 = 415,392,000.30/x
  3. Step 3: Cross multiply
    517,428,672.30x = 776,143,008.45 × 415,392,000.30
  4. Step 4: Simplify right side
    517,428,672.30x = 322,403,596,798,905,344
  5. Step 5: Solve for x
    x = 322,403,596,798,905,344/517,428,672.30
  6. Step 6: Final answer
    x = 623,088,000.45

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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.