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Finding the Fourth Proportional to 105,864,753,296.40, 148,582,578,284.40 and 105,864,753,296.40

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Solution

The fourth proportional to 105,864,753,296.40, 148,582,578,284.40 and 105,864,753,296.40 is: 148,582,578,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,753,296.40 : 148,582,578,284.40 = 105,864,753,296.40 : x
  2. Step 2: Convert to fraction form
    105,864,753,296.40/148,582,578,284.40 = 105,864,753,296.40/x
  3. Step 3: Cross multiply
    105,864,753,296.40x = 148,582,578,284.40 × 105,864,753,296.40
  4. Step 4: Simplify right side
    105,864,753,296.40x = 15,729,657,994,221,044,367,360
  5. Step 5: Solve for x
    x = 15,729,657,994,221,044,367,360/105,864,753,296.40
  6. Step 6: Final answer
    x = 148,582,578,284.40

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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.