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Finding the Fourth Proportional to 55,546,813.90, 77,574,220.70 and 55,546,813.90

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Solution

The fourth proportional to 55,546,813.90, 77,574,220.70 and 55,546,813.90 is: 77,574,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546,813.90 : 77,574,220.70 = 55,546,813.90 : x
  2. Step 2: Convert to fraction form
    55,546,813.90/77,574,220.70 = 55,546,813.90/x
  3. Step 3: Cross multiply
    55,546,813.90x = 77,574,220.70 × 55,546,813.90
  4. Step 4: Simplify right side
    55,546,813.90x = 4,309,000,800,660,428
  5. Step 5: Solve for x
    x = 4,309,000,800,660,428/55,546,813.90
  6. Step 6: Final answer
    x = 77,574,220.70

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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.