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Finding the Fourth Proportional to 59,056,129,054.40, 82,523,787,265.60 and 59,056,129,054.40

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Solution

The fourth proportional to 59,056,129,054.40, 82,523,787,265.60 and 59,056,129,054.40 is: 82,523,787,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,056,129,054.40 : 82,523,787,265.60 = 59,056,129,054.40 : x
  2. Step 2: Convert to fraction form
    59,056,129,054.40/82,523,787,265.60 = 59,056,129,054.40/x
  3. Step 3: Cross multiply
    59,056,129,054.40x = 82,523,787,265.60 × 59,056,129,054.40
  4. Step 4: Simplify right side
    59,056,129,054.40x = 4,873,535,430,815,125,602,304
  5. Step 5: Solve for x
    x = 4,873,535,430,815,125,602,304/59,056,129,054.40
  6. Step 6: Final answer
    x = 82,523,787,265.60

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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.