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Finding the Fourth Proportional to 610,310,101.60, 915,465,152.44 and 179,488,597.60

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Solution

The fourth proportional to 610,310,101.60, 915,465,152.44 and 179,488,597.60 is: 269,232,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,310,101.60 : 915,465,152.44 = 179,488,597.60 : x
  2. Step 2: Convert to fraction form
    610,310,101.60/915,465,152.44 = 179,488,597.60/x
  3. Step 3: Cross multiply
    610,310,101.60x = 915,465,152.44 × 179,488,597.60
  4. Step 4: Simplify right side
    610,310,101.60x = 164,315,556,363,125,824
  5. Step 5: Solve for x
    x = 164,315,556,363,125,824/610,310,101.60
  6. Step 6: Final answer
    x = 269,232,896.41

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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.