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Finding the Fourth Proportional to 802,121,617,647.16, 1,203,182,426,470.70 and 802,121,617,647.16

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Solution

The fourth proportional to 802,121,617,647.16, 1,203,182,426,470.70 and 802,121,617,647.16 is: 1,203,182,426,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,617,647.16 : 1,203,182,426,470.70 = 802,121,617,647.16 : x
  2. Step 2: Convert to fraction form
    802,121,617,647.16/1,203,182,426,470.70 = 802,121,617,647.16/x
  3. Step 3: Cross multiply
    802,121,617,647.16x = 1,203,182,426,470.70 × 802,121,617,647.16
  4. Step 4: Simplify right side
    802,121,617,647.16x = 965,098,634,245,313,080,066,048
  5. Step 5: Solve for x
    x = 965,098,634,245,313,080,066,048/802,121,617,647.16
  6. Step 6: Final answer
    x = 1,203,182,426,470.70

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Why These Related Problems?

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