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Finding the Fourth Proportional to 765,678,342.24, 1,056,630,737.52 and 417,997,830.24

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Solution

The fourth proportional to 765,678,342.24, 1,056,630,737.52 and 417,997,830.24 is: 576,834,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,678,342.24 : 1,056,630,737.52 = 417,997,830.24 : x
  2. Step 2: Convert to fraction form
    765,678,342.24/1,056,630,737.52 = 417,997,830.24/x
  3. Step 3: Cross multiply
    765,678,342.24x = 1,056,630,737.52 × 417,997,830.24
  4. Step 4: Simplify right side
    765,678,342.24x = 441,669,355,648,250,944
  5. Step 5: Solve for x
    x = 441,669,355,648,250,944/765,678,342.24
  6. Step 6: Final answer
    x = 576,834,071.55

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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.