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Finding the Fourth Proportional to 83,125,686,077.60, 124,688,529,116.40 and 83,125,686,077.60

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Solution

The fourth proportional to 83,125,686,077.60, 124,688,529,116.40 and 83,125,686,077.60 is: 124,688,529,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,125,686,077.60 : 124,688,529,116.40 = 83,125,686,077.60 : x
  2. Step 2: Convert to fraction form
    83,125,686,077.60/124,688,529,116.40 = 83,125,686,077.60/x
  3. Step 3: Cross multiply
    83,125,686,077.60x = 124,688,529,116.40 × 83,125,686,077.60
  4. Step 4: Simplify right side
    83,125,686,077.60x = 10,364,819,528,807,553,695,744
  5. Step 5: Solve for x
    x = 10,364,819,528,807,553,695,744/83,125,686,077.60
  6. Step 6: Final answer
    x = 124,688,529,116.40

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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.