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Finding the Fourth Proportional to 52,229,135.60, 78,343,703.40 and 52,229,135.60

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Solution

The fourth proportional to 52,229,135.60, 78,343,703.40 and 52,229,135.60 is: 78,343,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,229,135.60 : 78,343,703.40 = 52,229,135.60 : x
  2. Step 2: Convert to fraction form
    52,229,135.60/78,343,703.40 = 52,229,135.60/x
  3. Step 3: Cross multiply
    52,229,135.60x = 78,343,703.40 × 52,229,135.60
  4. Step 4: Simplify right side
    52,229,135.60x = 4,091,823,908,284,781.50
  5. Step 5: Solve for x
    x = 4,091,823,908,284,781.50/52,229,135.60
  6. Step 6: Final answer
    x = 78,343,703.40

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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.