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Finding the Fourth Proportional to 734,632,332.40, 1,101,948,498.60 and 734,632,332.40

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Solution

The fourth proportional to 734,632,332.40, 1,101,948,498.60 and 734,632,332.40 is: 1,101,948,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,632,332.40 : 1,101,948,498.60 = 734,632,332.40 : x
  2. Step 2: Convert to fraction form
    734,632,332.40/1,101,948,498.60 = 734,632,332.40/x
  3. Step 3: Cross multiply
    734,632,332.40x = 1,101,948,498.60 × 734,632,332.40
  4. Step 4: Simplify right side
    734,632,332.40x = 809,526,995,711,196,032
  5. Step 5: Solve for x
    x = 809,526,995,711,196,032/734,632,332.40
  6. Step 6: Final answer
    x = 1,101,948,498.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.