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Finding the Fourth Proportional to 866,205,802.80, 1,299,308,704.20 and 770,971,575.60

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Solution

The fourth proportional to 866,205,802.80, 1,299,308,704.20 and 770,971,575.60 is: 1,156,457,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,205,802.80 : 1,299,308,704.20 = 770,971,575.60 : x
  2. Step 2: Convert to fraction form
    866,205,802.80/1,299,308,704.20 = 770,971,575.60/x
  3. Step 3: Cross multiply
    866,205,802.80x = 1,299,308,704.20 × 770,971,575.60
  4. Step 4: Simplify right side
    866,205,802.80x = 1,001,730,078,867,868,416
  5. Step 5: Solve for x
    x = 1,001,730,078,867,868,416/866,205,802.80
  6. Step 6: Final answer
    x = 1,156,457,363.40

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1.5x scale

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.