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Finding the Fourth Proportional to 105,864,753,280.90, 148,582,578,262.70 and 105,864,753,280.90

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Solution

The fourth proportional to 105,864,753,280.90, 148,582,578,262.70 and 105,864,753,280.90 is: 148,582,578,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,753,280.90 : 148,582,578,262.70 = 105,864,753,280.90 : x
  2. Step 2: Convert to fraction form
    105,864,753,280.90/148,582,578,262.70 = 105,864,753,280.90/x
  3. Step 3: Cross multiply
    105,864,753,280.90x = 148,582,578,262.70 × 105,864,753,280.90
  4. Step 4: Simplify right side
    105,864,753,280.90x = 15,729,657,989,620,750,614,528
  5. Step 5: Solve for x
    x = 15,729,657,989,620,750,614,528/105,864,753,280.90
  6. Step 6: Final answer
    x = 148,582,578,262.70

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1.5x scale

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.