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Finding the Fourth Proportional to 55,779,433,003.60, 83,669,149,505.40 and 55,779,433,003.60

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Solution

The fourth proportional to 55,779,433,003.60, 83,669,149,505.40 and 55,779,433,003.60 is: 83,669,149,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,779,433,003.60 : 83,669,149,505.40 = 55,779,433,003.60 : x
  2. Step 2: Convert to fraction form
    55,779,433,003.60/83,669,149,505.40 = 55,779,433,003.60/x
  3. Step 3: Cross multiply
    55,779,433,003.60x = 83,669,149,505.40 × 55,779,433,003.60
  4. Step 4: Simplify right side
    55,779,433,003.60x = 4,667,017,719,304,651,014,144
  5. Step 5: Solve for x
    x = 4,667,017,719,304,651,014,144/55,779,433,003.60
  6. Step 6: Final answer
    x = 83,669,149,505.40

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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.