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Finding the Fourth Proportional to 295,264,269.60, 442,896,404.40 and 280,483,648.80

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Solution

The fourth proportional to 295,264,269.60, 442,896,404.40 and 280,483,648.80 is: 420,725,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,264,269.60 : 442,896,404.40 = 280,483,648.80 : x
  2. Step 2: Convert to fraction form
    295,264,269.60/442,896,404.40 = 280,483,648.80/x
  3. Step 3: Cross multiply
    295,264,269.60x = 442,896,404.40 × 280,483,648.80
  4. Step 4: Simplify right side
    295,264,269.60x = 124,225,199,546,512,368
  5. Step 5: Solve for x
    x = 124,225,199,546,512,368/295,264,269.60
  6. Step 6: Final answer
    x = 420,725,473.20

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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.