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Finding the Fourth Proportional to 802,121,617,627.65, 1,203,182,426,441.50 and 802,121,617,627.65

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Solution

The fourth proportional to 802,121,617,627.65, 1,203,182,426,441.50 and 802,121,617,627.65 is: 1,203,182,426,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,121,617,627.65 : 1,203,182,426,441.50 = 802,121,617,627.65 : x
  2. Step 2: Convert to fraction form
    802,121,617,627.65/1,203,182,426,441.50 = 802,121,617,627.65/x
  3. Step 3: Cross multiply
    802,121,617,627.65x = 1,203,182,426,441.50 × 802,121,617,627.65
  4. Step 4: Simplify right side
    802,121,617,627.65x = 965,098,634,198,417,003,249,664
  5. Step 5: Solve for x
    x = 965,098,634,198,417,003,249,664/802,121,617,627.65
  6. Step 6: Final answer
    x = 1,203,182,426,441.50

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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.