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Finding the Fourth Proportional to 802,121,856,047.40, 1,203,182,784,071.10 and 802,121,856,047.40

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Solution

The fourth proportional to 802,121,856,047.40, 1,203,182,784,071.10 and 802,121,856,047.40 is: 1,203,182,784,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,856,047.40 : 1,203,182,784,071.10 = 802,121,856,047.40 : x
  2. Step 2: Convert to fraction form
    802,121,856,047.40/1,203,182,784,071.10 = 802,121,856,047.40/x
  3. Step 3: Cross multiply
    802,121,856,047.40x = 1,203,182,784,071.10 × 802,121,856,047.40
  4. Step 4: Simplify right side
    802,121,856,047.40x = 965,099,207,923,388,955,754,496
  5. Step 5: Solve for x
    x = 965,099,207,923,388,955,754,496/802,121,856,047.40
  6. Step 6: Final answer
    x = 1,203,182,784,071.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.