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Finding the Fourth Proportional to 105,864,753,280.65, 148,582,578,262.35 and 105,864,753,280.65

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Solution

The fourth proportional to 105,864,753,280.65, 148,582,578,262.35 and 105,864,753,280.65 is: 148,582,578,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,753,280.65 : 148,582,578,262.35 = 105,864,753,280.65 : x
  2. Step 2: Convert to fraction form
    105,864,753,280.65/148,582,578,262.35 = 105,864,753,280.65/x
  3. Step 3: Cross multiply
    105,864,753,280.65x = 148,582,578,262.35 × 105,864,753,280.65
  4. Step 4: Simplify right side
    105,864,753,280.65x = 15,729,657,989,546,551,279,616
  5. Step 5: Solve for x
    x = 15,729,657,989,546,551,279,616/105,864,753,280.65
  6. Step 6: Final answer
    x = 148,582,578,262.35

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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.