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Finding the Fourth Proportional to 597,888,901.80, 896,833,352.70 and 450,573,456.60

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Solution

The fourth proportional to 597,888,901.80, 896,833,352.70 and 450,573,456.60 is: 675,860,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,888,901.80 : 896,833,352.70 = 450,573,456.60 : x
  2. Step 2: Convert to fraction form
    597,888,901.80/896,833,352.70 = 450,573,456.60/x
  3. Step 3: Cross multiply
    597,888,901.80x = 896,833,352.70 × 450,573,456.60
  4. Step 4: Simplify right side
    597,888,901.80x = 404,089,303,720,206,016
  5. Step 5: Solve for x
    x = 404,089,303,720,206,016/597,888,901.80
  6. Step 6: Final answer
    x = 675,860,184.90

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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.