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Finding the Fourth Proportional to 2,472,394,752,186.40, 3,708,592,128,279.40 and 2,472,394,752,186.40

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Solution

The fourth proportional to 2,472,394,752,186.40, 3,708,592,128,279.40 and 2,472,394,752,186.40 is: 3,708,592,128,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,394,752,186.40 : 3,708,592,128,279.40 = 2,472,394,752,186.40 : x
  2. Step 2: Convert to fraction form
    2,472,394,752,186.40/3,708,592,128,279.40 = 2,472,394,752,186.40/x
  3. Step 3: Cross multiply
    2,472,394,752,186.40x = 3,708,592,128,279.40 × 2,472,394,752,186.40
  4. Step 4: Simplify right side
    2,472,394,752,186.40x = 9,169,103,715,957,780,118,503,424
  5. Step 5: Solve for x
    x = 9,169,103,715,957,780,118,503,424/2,472,394,752,186.40
  6. Step 6: Final answer
    x = 3,708,592,128,279.40

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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.