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Finding the Fourth Proportional to 898,681,269.20, 1,346,006,364.60 and 898,681,269.20

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Solution

The fourth proportional to 898,681,269.20, 1,346,006,364.60 and 898,681,269.20 is: 1,346,006,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,681,269.20 : 1,346,006,364.60 = 898,681,269.20 : x
  2. Step 2: Convert to fraction form
    898,681,269.20/1,346,006,364.60 = 898,681,269.20/x
  3. Step 3: Cross multiply
    898,681,269.20x = 1,346,006,364.60 × 898,681,269.20
  4. Step 4: Simplify right side
    898,681,269.20x = 1,209,630,708,090,006,016
  5. Step 5: Solve for x
    x = 1,209,630,708,090,006,016/898,681,269.20
  6. Step 6: Final answer
    x = 1,346,006,364.60

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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.