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Finding the Fourth Proportional to 1,264,734,023.16, 1,745,516,247.66 and 728,781,413.88

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Solution

The fourth proportional to 1,264,734,023.16, 1,745,516,247.66 and 728,781,413.88 is: 1,005,823,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,734,023.16 : 1,745,516,247.66 = 728,781,413.88 : x
  2. Step 2: Convert to fraction form
    1,264,734,023.16/1,745,516,247.66 = 728,781,413.88/x
  3. Step 3: Cross multiply
    1,264,734,023.16x = 1,745,516,247.66 × 728,781,413.88
  4. Step 4: Simplify right side
    1,264,734,023.16x = 1,272,099,798,920,167,168
  5. Step 5: Solve for x
    x = 1,272,099,798,920,167,168/1,264,734,023.16
  6. Step 6: Final answer
    x = 1,005,823,972.18

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Why These Related Problems?

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