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Finding the Fourth Proportional to 805,766,483.60, 1,208,649,725.40 and 560,878,470.80

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Solution

The fourth proportional to 805,766,483.60, 1,208,649,725.40 and 560,878,470.80 is: 841,317,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,766,483.60 : 1,208,649,725.40 = 560,878,470.80 : x
  2. Step 2: Convert to fraction form
    805,766,483.60/1,208,649,725.40 = 560,878,470.80/x
  3. Step 3: Cross multiply
    805,766,483.60x = 1,208,649,725.40 × 560,878,470.80
  4. Step 4: Simplify right side
    805,766,483.60x = 677,905,609,715,191,936
  5. Step 5: Solve for x
    x = 677,905,609,715,191,936/805,766,483.60
  6. Step 6: Final answer
    x = 841,317,706.20

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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.