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Finding the Fourth Proportional to 55,998,446.90, 83,997,670.35 and 47,778,826.10

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Solution

The fourth proportional to 55,998,446.90, 83,997,670.35 and 47,778,826.10 is: 71,668,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,998,446.90 : 83,997,670.35 = 47,778,826.10 : x
  2. Step 2: Convert to fraction form
    55,998,446.90/83,997,670.35 = 47,778,826.10/x
  3. Step 3: Cross multiply
    55,998,446.90x = 83,997,670.35 × 47,778,826.10
  4. Step 4: Simplify right side
    55,998,446.90x = 4,013,310,084,457,776
  5. Step 5: Solve for x
    x = 4,013,310,084,457,776/55,998,446.90
  6. Step 6: Final answer
    x = 71,668,239.15

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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.