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Finding the Fourth Proportional to 55,734,947,838.30, 83,602,421,757.45 and 55,734,947,838.30

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Solution

The fourth proportional to 55,734,947,838.30, 83,602,421,757.45 and 55,734,947,838.30 is: 83,602,421,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734,947,838.30 : 83,602,421,757.45 = 55,734,947,838.30 : x
  2. Step 2: Convert to fraction form
    55,734,947,838.30/83,602,421,757.45 = 55,734,947,838.30/x
  3. Step 3: Cross multiply
    55,734,947,838.30x = 83,602,421,757.45 × 55,734,947,838.30
  4. Step 4: Simplify right side
    55,734,947,838.30x = 4,659,576,615,807,033,016,320
  5. Step 5: Solve for x
    x = 4,659,576,615,807,033,016,320/55,734,947,838.30
  6. Step 6: Final answer
    x = 83,602,421,757.45

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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.