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Finding the Fourth Proportional to 727,087,104,046.70, 1,090,630,656,070.10 and 727,087,104,046.70

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Solution

The fourth proportional to 727,087,104,046.70, 1,090,630,656,070.10 and 727,087,104,046.70 is: 1,090,630,656,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,087,104,046.70 : 1,090,630,656,070.10 = 727,087,104,046.70 : x
  2. Step 2: Convert to fraction form
    727,087,104,046.70/1,090,630,656,070.10 = 727,087,104,046.70/x
  3. Step 3: Cross multiply
    727,087,104,046.70x = 1,090,630,656,070.10 × 727,087,104,046.70
  4. Step 4: Simplify right side
    727,087,104,046.70x = 792,983,485,306,561,410,105,344
  5. Step 5: Solve for x
    x = 792,983,485,306,561,410,105,344/727,087,104,046.70
  6. Step 6: Final answer
    x = 1,090,630,656,070.10

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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.