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Finding the Fourth Proportional to 802,121,617,632.90, 1,203,182,426,449.40 and 802,121,617,632.90

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Solution

The fourth proportional to 802,121,617,632.90, 1,203,182,426,449.40 and 802,121,617,632.90 is: 1,203,182,426,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,617,632.90 : 1,203,182,426,449.40 = 802,121,617,632.90 : x
  2. Step 2: Convert to fraction form
    802,121,617,632.90/1,203,182,426,449.40 = 802,121,617,632.90/x
  3. Step 3: Cross multiply
    802,121,617,632.90x = 1,203,182,426,449.40 × 802,121,617,632.90
  4. Step 4: Simplify right side
    802,121,617,632.90x = 965,098,634,211,070,379,556,864
  5. Step 5: Solve for x
    x = 965,098,634,211,070,379,556,864/802,121,617,632.90
  6. Step 6: Final answer
    x = 1,203,182,426,449.40

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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.