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Finding the Fourth Proportional to 55,490,633.40, 77,814,432.60 and 55,490,633.40

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Solution

The fourth proportional to 55,490,633.40, 77,814,432.60 and 55,490,633.40 is: 77,814,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490,633.40 : 77,814,432.60 = 55,490,633.40 : x
  2. Step 2: Convert to fraction form
    55,490,633.40/77,814,432.60 = 55,490,633.40/x
  3. Step 3: Cross multiply
    55,490,633.40x = 77,814,432.60 × 55,490,633.40
  4. Step 4: Simplify right side
    55,490,633.40x = 4,317,972,152,635,608.50
  5. Step 5: Solve for x
    x = 4,317,972,152,635,608.50/55,490,633.40
  6. Step 6: Final answer
    x = 77,814,432.60

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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.