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Finding the Fourth Proportional to 1,304,511,802.07, 1,954,298,757.34 and 771,126,352.21

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Solution

The fourth proportional to 1,304,511,802.07, 1,954,298,757.34 and 771,126,352.21 is: 1,155,230,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,511,802.07 : 1,954,298,757.34 = 771,126,352.21 : x
  2. Step 2: Convert to fraction form
    1,304,511,802.07/1,954,298,757.34 = 771,126,352.21/x
  3. Step 3: Cross multiply
    1,304,511,802.07x = 1,954,298,757.34 × 771,126,352.21
  4. Step 4: Simplify right side
    1,304,511,802.07x = 1,507,011,271,872,274,688
  5. Step 5: Solve for x
    x = 1,507,011,271,872,274,688/1,304,511,802.07
  6. Step 6: Final answer
    x = 1,155,230,078.78

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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.