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Finding the Fourth Proportional to 598,897,866.40, 898,346,799.60 and 292,032,023.20

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Solution

The fourth proportional to 598,897,866.40, 898,346,799.60 and 292,032,023.20 is: 438,048,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,897,866.40 : 898,346,799.60 = 292,032,023.20 : x
  2. Step 2: Convert to fraction form
    598,897,866.40/898,346,799.60 = 292,032,023.20/x
  3. Step 3: Cross multiply
    598,897,866.40x = 898,346,799.60 × 292,032,023.20
  4. Step 4: Simplify right side
    598,897,866.40x = 262,346,033,422,432,960
  5. Step 5: Solve for x
    x = 262,346,033,422,432,960/598,897,866.40
  6. Step 6: Final answer
    x = 438,048,034.80

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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.