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Finding the Fourth Proportional to 6,970,752,142.70, 10,456,128,214.05 and 6,970,752,142.70

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Solution

The fourth proportional to 6,970,752,142.70, 10,456,128,214.05 and 6,970,752,142.70 is: 10,456,128,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,752,142.70 : 10,456,128,214.05 = 6,970,752,142.70 : x
  2. Step 2: Convert to fraction form
    6,970,752,142.70/10,456,128,214.05 = 6,970,752,142.70/x
  3. Step 3: Cross multiply
    6,970,752,142.70x = 10,456,128,214.05 × 6,970,752,142.70
  4. Step 4: Simplify right side
    6,970,752,142.70x = 72,887,078,152,434,958,336
  5. Step 5: Solve for x
    x = 72,887,078,152,434,958,336/6,970,752,142.70
  6. Step 6: Final answer
    x = 10,456,128,214.05

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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.