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Finding the Fourth Proportional to 780,574,336, 1,169,300,446.08 and 469,510,200.16

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Solution

The fourth proportional to 780,574,336, 1,169,300,446.08 and 469,510,200.16 is: 703,326,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,574,336 : 1,169,300,446.08 = 469,510,200.16 : x
  2. Step 2: Convert to fraction form
    780,574,336/1,169,300,446.08 = 469,510,200.16/x
  3. Step 3: Cross multiply
    780,574,336x = 1,169,300,446.08 × 469,510,200.16
  4. Step 4: Simplify right side
    780,574,336x = 548,998,486,486,198,080
  5. Step 5: Solve for x
    x = 548,998,486,486,198,080/780,574,336
  6. Step 6: Final answer
    x = 703,326,334.43

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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.