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Finding the Fourth Proportional to 55,267,714.80, 82,742,139.90 and 55,267,714.80

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Solution

The fourth proportional to 55,267,714.80, 82,742,139.90 and 55,267,714.80 is: 82,742,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,267,714.80 : 82,742,139.90 = 55,267,714.80 : x
  2. Step 2: Convert to fraction form
    55,267,714.80/82,742,139.90 = 55,267,714.80/x
  3. Step 3: Cross multiply
    55,267,714.80x = 82,742,139.90 × 55,267,714.80
  4. Step 4: Simplify right side
    55,267,714.80x = 4,572,968,989,934,901
  5. Step 5: Solve for x
    x = 4,572,968,989,934,901/55,267,714.80
  6. Step 6: Final answer
    x = 82,742,139.90

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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.