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Finding the Fourth Proportional to 993,834,662.33, 1,490,590,291.48 and 469,202,750.15

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Solution

The fourth proportional to 993,834,662.33, 1,490,590,291.48 and 469,202,750.15 is: 703,727,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,834,662.33 : 1,490,590,291.48 = 469,202,750.15 : x
  2. Step 2: Convert to fraction form
    993,834,662.33/1,490,590,291.48 = 469,202,750.15/x
  3. Step 3: Cross multiply
    993,834,662.33x = 1,490,590,291.48 × 469,202,750.15
  4. Step 4: Simplify right side
    993,834,662.33x = 699,389,064,100,680,064
  5. Step 5: Solve for x
    x = 699,389,064,100,680,064/993,834,662.33
  6. Step 6: Final answer
    x = 703,727,783.51

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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.