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Finding the Fourth Proportional to 78,288,064.80, 117,208,148.40 and 78,288,064.80

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Solution

The fourth proportional to 78,288,064.80, 117,208,148.40 and 78,288,064.80 is: 117,208,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,288,064.80 : 117,208,148.40 = 78,288,064.80 : x
  2. Step 2: Convert to fraction form
    78,288,064.80/117,208,148.40 = 78,288,064.80/x
  3. Step 3: Cross multiply
    78,288,064.80x = 117,208,148.40 × 78,288,064.80
  4. Step 4: Simplify right side
    78,288,064.80x = 9,175,999,117,027,216
  5. Step 5: Solve for x
    x = 9,175,999,117,027,216/78,288,064.80
  6. Step 6: Final answer
    x = 117,208,148.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.