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Finding the Fourth Proportional to 458,208,310.40, 686,556,638.40 and 390,183,862.40

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Solution

The fourth proportional to 458,208,310.40, 686,556,638.40 and 390,183,862.40 is: 584,632,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,208,310.40 : 686,556,638.40 = 390,183,862.40 : x
  2. Step 2: Convert to fraction form
    458,208,310.40/686,556,638.40 = 390,183,862.40/x
  3. Step 3: Cross multiply
    458,208,310.40x = 686,556,638.40 × 390,183,862.40
  4. Step 4: Simplify right side
    458,208,310.40x = 267,883,320,927,272,128
  5. Step 5: Solve for x
    x = 267,883,320,927,272,128/458,208,310.40
  6. Step 6: Final answer
    x = 584,632,174.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.