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Finding the Fourth Proportional to 143,384,668,842.70, 215,077,003,264.05 and 143,384,668,842.70

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Solution

The fourth proportional to 143,384,668,842.70, 215,077,003,264.05 and 143,384,668,842.70 is: 215,077,003,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,384,668,842.70 : 215,077,003,264.05 = 143,384,668,842.70 : x
  2. Step 2: Convert to fraction form
    143,384,668,842.70/215,077,003,264.05 = 143,384,668,842.70/x
  3. Step 3: Cross multiply
    143,384,668,842.70x = 215,077,003,264.05 × 143,384,668,842.70
  4. Step 4: Simplify right side
    143,384,668,842.70x = 30,838,744,888,696,115,298,304
  5. Step 5: Solve for x
    x = 30,838,744,888,696,115,298,304/143,384,668,842.70
  6. Step 6: Final answer
    x = 215,077,003,264.05

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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.