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Finding the Fourth Proportional to 734,681,724.32, 1,013,860,743.54 and 404,656,879.52

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Solution

The fourth proportional to 734,681,724.32, 1,013,860,743.54 and 404,656,879.52 is: 558,426,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,681,724.32 : 1,013,860,743.54 = 404,656,879.52 : x
  2. Step 2: Convert to fraction form
    734,681,724.32/1,013,860,743.54 = 404,656,879.52/x
  3. Step 3: Cross multiply
    734,681,724.32x = 1,013,860,743.54 × 404,656,879.52
  4. Step 4: Simplify right side
    734,681,724.32x = 410,265,724,749,720,320
  5. Step 5: Solve for x
    x = 410,265,724,749,720,320/734,681,724.32
  6. Step 6: Final answer
    x = 558,426,473.90

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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.