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Finding the Fourth Proportional to 6,970,752,111.70, 10,456,128,167.55 and 6,970,752,111.70

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Solution

The fourth proportional to 6,970,752,111.70, 10,456,128,167.55 and 6,970,752,111.70 is: 10,456,128,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,752,111.70 : 10,456,128,167.55 = 6,970,752,111.70 : x
  2. Step 2: Convert to fraction form
    6,970,752,111.70/10,456,128,167.55 = 6,970,752,111.70/x
  3. Step 3: Cross multiply
    6,970,752,111.70x = 10,456,128,167.55 × 6,970,752,111.70
  4. Step 4: Simplify right side
    6,970,752,111.70x = 72,887,077,504,155,009,024
  5. Step 5: Solve for x
    x = 72,887,077,504,155,009,024/6,970,752,111.70
  6. Step 6: Final answer
    x = 10,456,128,167.55

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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.