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Finding the Fourth Proportional to 25,178,688,002.70, 35,301,761,007.30 and 25,178,688,002.70

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Solution

The fourth proportional to 25,178,688,002.70, 35,301,761,007.30 and 25,178,688,002.70 is: 35,301,761,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178,688,002.70 : 35,301,761,007.30 = 25,178,688,002.70 : x
  2. Step 2: Convert to fraction form
    25,178,688,002.70/35,301,761,007.30 = 25,178,688,002.70/x
  3. Step 3: Cross multiply
    25,178,688,002.70x = 35,301,761,007.30 × 25,178,688,002.70
  4. Step 4: Simplify right side
    25,178,688,002.70x = 888,852,026,348,687,327,232
  5. Step 5: Solve for x
    x = 888,852,026,348,687,327,232/25,178,688,002.70
  6. Step 6: Final answer
    x = 35,301,761,007.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.