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Finding the Fourth Proportional to 124,186,743,998.70, 186,280,115,998.05 and 124,186,743,998.70

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Solution

The fourth proportional to 124,186,743,998.70, 186,280,115,998.05 and 124,186,743,998.70 is: 186,280,115,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,186,743,998.70 : 186,280,115,998.05 = 124,186,743,998.70 : x
  2. Step 2: Convert to fraction form
    124,186,743,998.70/186,280,115,998.05 = 124,186,743,998.70/x
  3. Step 3: Cross multiply
    124,186,743,998.70x = 186,280,115,998.05 × 124,186,743,998.70
  4. Step 4: Simplify right side
    124,186,743,998.70x = 23,133,521,077,497,973,702,656
  5. Step 5: Solve for x
    x = 23,133,521,077,497,973,702,656/124,186,743,998.70
  6. Step 6: Final answer
    x = 186,280,115,998.05

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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.