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Finding the Fourth Proportional to 55,546,814.40, 77,574,221.40 and 55,546,814.40

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Solution

The fourth proportional to 55,546,814.40, 77,574,221.40 and 55,546,814.40 is: 77,574,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546,814.40 : 77,574,221.40 = 55,546,814.40 : x
  2. Step 2: Convert to fraction form
    55,546,814.40/77,574,221.40 = 55,546,814.40/x
  3. Step 3: Cross multiply
    55,546,814.40x = 77,574,221.40 × 55,546,814.40
  4. Step 4: Simplify right side
    55,546,814.40x = 4,309,000,878,330,308.50
  5. Step 5: Solve for x
    x = 4,309,000,878,330,308.50/55,546,814.40
  6. Step 6: Final answer
    x = 77,574,221.40

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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.