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Finding the Fourth Proportional to 680,223,248,850.80, 1,020,334,873,276.20 and 680,223,248,850.80

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Solution

The fourth proportional to 680,223,248,850.80, 1,020,334,873,276.20 and 680,223,248,850.80 is: 1,020,334,873,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,223,248,850.80 : 1,020,334,873,276.20 = 680,223,248,850.80 : x
  2. Step 2: Convert to fraction form
    680,223,248,850.80/1,020,334,873,276.20 = 680,223,248,850.80/x
  3. Step 3: Cross multiply
    680,223,248,850.80x = 1,020,334,873,276.20 × 680,223,248,850.80
  4. Step 4: Simplify right side
    680,223,248,850.80x = 694,055,502,415,706,101,645,312
  5. Step 5: Solve for x
    x = 694,055,502,415,706,101,645,312/680,223,248,850.80
  6. Step 6: Final answer
    x = 1,020,334,873,276.20

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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.