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Finding the Fourth Proportional to 730,259,715,600.90, 1,095,389,573,401.40 and 730,259,715,600.90

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Solution

The fourth proportional to 730,259,715,600.90, 1,095,389,573,401.40 and 730,259,715,600.90 is: 1,095,389,573,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,259,715,600.90 : 1,095,389,573,401.40 = 730,259,715,600.90 : x
  2. Step 2: Convert to fraction form
    730,259,715,600.90/1,095,389,573,401.40 = 730,259,715,600.90/x
  3. Step 3: Cross multiply
    730,259,715,600.90x = 1,095,389,573,401.40 × 730,259,715,600.90
  4. Step 4: Simplify right side
    730,259,715,600.90x = 799,918,878,344,297,618,341,888
  5. Step 5: Solve for x
    x = 799,918,878,344,297,618,341,888/730,259,715,600.90
  6. Step 6: Final answer
    x = 1,095,389,573,401.40

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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.