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Finding the Fourth Proportional to 906,176,162.40, 1,357,248,704.40 and 744,933,026.40

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Solution

The fourth proportional to 906,176,162.40, 1,357,248,704.40 and 744,933,026.40 is: 1,115,742,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,176,162.40 : 1,357,248,704.40 = 744,933,026.40 : x
  2. Step 2: Convert to fraction form
    906,176,162.40/1,357,248,704.40 = 744,933,026.40/x
  3. Step 3: Cross multiply
    906,176,162.40x = 1,357,248,704.40 × 744,933,026.40
  4. Step 4: Simplify right side
    906,176,162.40x = 1,011,059,384,946,171,008
  5. Step 5: Solve for x
    x = 1,011,059,384,946,171,008/906,176,162.40
  6. Step 6: Final answer
    x = 1,115,742,641.33

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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.