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Finding the Fourth Proportional to 55,490,655.65, 77,814,463.75 and 55,490,655.65

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Solution

The fourth proportional to 55,490,655.65, 77,814,463.75 and 55,490,655.65 is: 77,814,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490,655.65 : 77,814,463.75 = 55,490,655.65 : x
  2. Step 2: Convert to fraction form
    55,490,655.65/77,814,463.75 = 55,490,655.65/x
  3. Step 3: Cross multiply
    55,490,655.65x = 77,814,463.75 × 55,490,655.65
  4. Step 4: Simplify right side
    55,490,655.65x = 4,317,975,612,540,657.50
  5. Step 5: Solve for x
    x = 4,317,975,612,540,657.50/55,490,655.65
  6. Step 6: Final answer
    x = 77,814,463.75

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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.