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Finding the Fourth Proportional to 78,711,912,097.20, 118,067,868,145.80 and 78,711,912,097.20

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Solution

The fourth proportional to 78,711,912,097.20, 118,067,868,145.80 and 78,711,912,097.20 is: 118,067,868,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,711,912,097.20 : 118,067,868,145.80 = 78,711,912,097.20 : x
  2. Step 2: Convert to fraction form
    78,711,912,097.20/118,067,868,145.80 = 78,711,912,097.20/x
  3. Step 3: Cross multiply
    78,711,912,097.20x = 118,067,868,145.80 × 78,711,912,097.20
  4. Step 4: Simplify right side
    78,711,912,097.20x = 9,293,347,658,996,009,402,368
  5. Step 5: Solve for x
    x = 9,293,347,658,996,009,402,368/78,711,912,097.20
  6. Step 6: Final answer
    x = 118,067,868,145.80

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Double scale
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1.5x scale

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.