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Finding the Fourth Proportional to 77,946,530.40, 109,304,301.60 and 77,946,530.40

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Solution

The fourth proportional to 77,946,530.40, 109,304,301.60 and 77,946,530.40 is: 109,304,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946,530.40 : 109,304,301.60 = 77,946,530.40 : x
  2. Step 2: Convert to fraction form
    77,946,530.40/109,304,301.60 = 77,946,530.40/x
  3. Step 3: Cross multiply
    77,946,530.40x = 109,304,301.60 × 77,946,530.40
  4. Step 4: Simplify right side
    77,946,530.40x = 8,519,891,067,515,169
  5. Step 5: Solve for x
    x = 8,519,891,067,515,169/77,946,530.40
  6. Step 6: Final answer
    x = 109,304,301.60

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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.