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Finding the Fourth Proportional to 54,896,037,665.60, 82,344,056,498.40 and 54,896,037,665.60

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Solution

The fourth proportional to 54,896,037,665.60, 82,344,056,498.40 and 54,896,037,665.60 is: 82,344,056,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896,037,665.60 : 82,344,056,498.40 = 54,896,037,665.60 : x
  2. Step 2: Convert to fraction form
    54,896,037,665.60/82,344,056,498.40 = 54,896,037,665.60/x
  3. Step 3: Cross multiply
    54,896,037,665.60x = 82,344,056,498.40 × 54,896,037,665.60
  4. Step 4: Simplify right side
    54,896,037,665.60x = 4,520,362,427,074,460,254,208
  5. Step 5: Solve for x
    x = 4,520,362,427,074,460,254,208/54,896,037,665.60
  6. Step 6: Final answer
    x = 82,344,056,498.40

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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.