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Finding the Fourth Proportional to 802,121,617,689.20, 1,203,182,426,533.80 and 802,121,617,689.20

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Solution

The fourth proportional to 802,121,617,689.20, 1,203,182,426,533.80 and 802,121,617,689.20 is: 1,203,182,426,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,617,689.20 : 1,203,182,426,533.80 = 802,121,617,689.20 : x
  2. Step 2: Convert to fraction form
    802,121,617,689.20/1,203,182,426,533.80 = 802,121,617,689.20/x
  3. Step 3: Cross multiply
    802,121,617,689.20x = 1,203,182,426,533.80 × 802,121,617,689.20
  4. Step 4: Simplify right side
    802,121,617,689.20x = 965,098,634,346,508,683,575,296
  5. Step 5: Solve for x
    x = 965,098,634,346,508,683,575,296/802,121,617,689.20
  6. Step 6: Final answer
    x = 1,203,182,426,533.80

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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.