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Finding the Fourth Proportional to 977,771,256.90, 1,466,656,885.35 and 870,632,751.30

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Solution

The fourth proportional to 977,771,256.90, 1,466,656,885.35 and 870,632,751.30 is: 1,305,949,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,771,256.90 : 1,466,656,885.35 = 870,632,751.30 : x
  2. Step 2: Convert to fraction form
    977,771,256.90/1,466,656,885.35 = 870,632,751.30/x
  3. Step 3: Cross multiply
    977,771,256.90x = 1,466,656,885.35 × 870,632,751.30
  4. Step 4: Simplify right side
    977,771,256.90x = 1,276,919,519,305,359,104
  5. Step 5: Solve for x
    x = 1,276,919,519,305,359,104/977,771,256.90
  6. Step 6: Final answer
    x = 1,305,949,126.95

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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.