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Finding the Fourth Proportional to 838,007,530.60, 1,257,011,295.90 and 838,007,530.60

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Solution

The fourth proportional to 838,007,530.60, 1,257,011,295.90 and 838,007,530.60 is: 1,257,011,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,007,530.60 : 1,257,011,295.90 = 838,007,530.60 : x
  2. Step 2: Convert to fraction form
    838,007,530.60/1,257,011,295.90 = 838,007,530.60/x
  3. Step 3: Cross multiply
    838,007,530.60x = 1,257,011,295.90 × 838,007,530.60
  4. Step 4: Simplify right side
    838,007,530.60x = 1,053,384,932,013,464,960
  5. Step 5: Solve for x
    x = 1,053,384,932,013,464,960/838,007,530.60
  6. Step 6: Final answer
    x = 1,257,011,295.90

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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.