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Finding the Fourth Proportional to 1,602,123,796.40, 2,403,610,847.40 and 566,876,728.40

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Solution

The fourth proportional to 1,602,123,796.40, 2,403,610,847.40 and 566,876,728.40 is: 850,465,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,123,796.40 : 2,403,610,847.40 = 566,876,728.40 : x
  2. Step 2: Convert to fraction form
    1,602,123,796.40/2,403,610,847.40 = 566,876,728.40/x
  3. Step 3: Cross multiply
    1,602,123,796.40x = 2,403,610,847.40 × 566,876,728.40
  4. Step 4: Simplify right side
    1,602,123,796.40x = 1,362,551,053,520,863,744
  5. Step 5: Solve for x
    x = 1,362,551,053,520,863,744/1,602,123,796.40
  6. Step 6: Final answer
    x = 850,465,523.69

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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.