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Finding the Fourth Proportional to 1,275,705,695.20, 1,787,197,296.80 and 1,275,705,695.20

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Solution

The fourth proportional to 1,275,705,695.20, 1,787,197,296.80 and 1,275,705,695.20 is: 1,787,197,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,705,695.20 : 1,787,197,296.80 = 1,275,705,695.20 : x
  2. Step 2: Convert to fraction form
    1,275,705,695.20/1,787,197,296.80 = 1,275,705,695.20/x
  3. Step 3: Cross multiply
    1,275,705,695.20x = 1,787,197,296.80 × 1,275,705,695.20
  4. Step 4: Simplify right side
    1,275,705,695.20x = 2,279,937,769,973,804,800
  5. Step 5: Solve for x
    x = 2,279,937,769,973,804,800/1,275,705,695.20
  6. Step 6: Final answer
    x = 1,787,197,296.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.