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Finding the Fourth Proportional to 870,739,069.80, 1,222,478,435.40 and 870,739,069.80

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Solution

The fourth proportional to 870,739,069.80, 1,222,478,435.40 and 870,739,069.80 is: 1,222,478,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,739,069.80 : 1,222,478,435.40 = 870,739,069.80 : x
  2. Step 2: Convert to fraction form
    870,739,069.80/1,222,478,435.40 = 870,739,069.80/x
  3. Step 3: Cross multiply
    870,739,069.80x = 1,222,478,435.40 × 870,739,069.80
  4. Step 4: Simplify right side
    870,739,069.80x = 1,064,459,735,690,755,456
  5. Step 5: Solve for x
    x = 1,064,459,735,690,755,456/870,739,069.80
  6. Step 6: Final answer
    x = 1,222,478,435.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.