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Finding the Fourth Proportional to 898,320,706.40, 1,347,984,944.40 and 380,663,055.20

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Solution

The fourth proportional to 898,320,706.40, 1,347,984,944.40 and 380,663,055.20 is: 571,208,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,320,706.40 : 1,347,984,944.40 = 380,663,055.20 : x
  2. Step 2: Convert to fraction form
    898,320,706.40/1,347,984,944.40 = 380,663,055.20/x
  3. Step 3: Cross multiply
    898,320,706.40x = 1,347,984,944.40 × 380,663,055.20
  4. Step 4: Simplify right side
    898,320,706.40x = 513,128,067,298,906,176
  5. Step 5: Solve for x
    x = 513,128,067,298,906,176/898,320,706.40
  6. Step 6: Final answer
    x = 571,208,103.79

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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.