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Finding the Fourth Proportional to 907,458,259,969.90, 1,361,187,389,954.90 and 907,458,259,969.90

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Solution

The fourth proportional to 907,458,259,969.90, 1,361,187,389,954.90 and 907,458,259,969.90 is: 1,361,187,389,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,458,259,969.90 : 1,361,187,389,954.90 = 907,458,259,969.90 : x
  2. Step 2: Convert to fraction form
    907,458,259,969.90/1,361,187,389,954.90 = 907,458,259,969.90/x
  3. Step 3: Cross multiply
    907,458,259,969.90x = 1,361,187,389,954.90 × 907,458,259,969.90
  4. Step 4: Simplify right side
    907,458,259,969.90x = 1,235,220,740,381,443,199,336,448
  5. Step 5: Solve for x
    x = 1,235,220,740,381,443,199,336,448/907,458,259,969.90
  6. Step 6: Final answer
    x = 1,361,187,389,954.90

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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.