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Finding the Fourth Proportional to 105,864,753,297.40, 148,582,578,285.80 and 105,864,753,297.40

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Solution

The fourth proportional to 105,864,753,297.40, 148,582,578,285.80 and 105,864,753,297.40 is: 148,582,578,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,753,297.40 : 148,582,578,285.80 = 105,864,753,297.40 : x
  2. Step 2: Convert to fraction form
    105,864,753,297.40/148,582,578,285.80 = 105,864,753,297.40/x
  3. Step 3: Cross multiply
    105,864,753,297.40x = 148,582,578,285.80 × 105,864,753,297.40
  4. Step 4: Simplify right side
    105,864,753,297.40x = 15,729,657,994,517,837,512,704
  5. Step 5: Solve for x
    x = 15,729,657,994,517,837,512,704/105,864,753,297.40
  6. Step 6: Final answer
    x = 148,582,578,285.80

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Why These Related Problems?

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