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Finding the Fourth Proportional to 55,648,538,583.40, 83,472,807,875.10 and 55,648,538,583.40

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Solution

The fourth proportional to 55,648,538,583.40, 83,472,807,875.10 and 55,648,538,583.40 is: 83,472,807,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648,538,583.40 : 83,472,807,875.10 = 55,648,538,583.40 : x
  2. Step 2: Convert to fraction form
    55,648,538,583.40/83,472,807,875.10 = 55,648,538,583.40/x
  3. Step 3: Cross multiply
    55,648,538,583.40x = 83,472,807,875.10 × 55,648,538,583.40
  4. Step 4: Simplify right side
    55,648,538,583.40x = 4,645,139,769,702,238,126,080
  5. Step 5: Solve for x
    x = 4,645,139,769,702,238,126,080/55,648,538,583.40
  6. Step 6: Final answer
    x = 83,472,807,875.10

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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.