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Finding the Fourth Proportional to 976,669,363.60, 1,465,004,045.40 and 901,842,470.80

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Solution

The fourth proportional to 976,669,363.60, 1,465,004,045.40 and 901,842,470.80 is: 1,352,763,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,669,363.60 : 1,465,004,045.40 = 901,842,470.80 : x
  2. Step 2: Convert to fraction form
    976,669,363.60/1,465,004,045.40 = 901,842,470.80/x
  3. Step 3: Cross multiply
    976,669,363.60x = 1,465,004,045.40 × 901,842,470.80
  4. Step 4: Simplify right side
    976,669,363.60x = 1,321,202,868,035,531,264
  5. Step 5: Solve for x
    x = 1,321,202,868,035,531,264/976,669,363.60
  6. Step 6: Final answer
    x = 1,352,763,706.20

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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.