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Finding the Fourth Proportional to 55,648,538,584.40, 83,472,807,876.60 and 55,648,538,584.40

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Solution

The fourth proportional to 55,648,538,584.40, 83,472,807,876.60 and 55,648,538,584.40 is: 83,472,807,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648,538,584.40 : 83,472,807,876.60 = 55,648,538,584.40 : x
  2. Step 2: Convert to fraction form
    55,648,538,584.40/83,472,807,876.60 = 55,648,538,584.40/x
  3. Step 3: Cross multiply
    55,648,538,584.40x = 83,472,807,876.60 × 55,648,538,584.40
  4. Step 4: Simplify right side
    55,648,538,584.40x = 4,645,139,769,869,184,008,192
  5. Step 5: Solve for x
    x = 4,645,139,769,869,184,008,192/55,648,538,584.40
  6. Step 6: Final answer
    x = 83,472,807,876.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.