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Finding the Fourth Proportional to 898,320,698.90, 1,347,984,933.15 and 380,663,047.70

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Solution

The fourth proportional to 898,320,698.90, 1,347,984,933.15 and 380,663,047.70 is: 571,208,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,320,698.90 : 1,347,984,933.15 = 380,663,047.70 : x
  2. Step 2: Convert to fraction form
    898,320,698.90/1,347,984,933.15 = 380,663,047.70/x
  3. Step 3: Cross multiply
    898,320,698.90x = 1,347,984,933.15 × 380,663,047.70
  4. Step 4: Simplify right side
    898,320,698.90x = 513,128,052,906,559,808
  5. Step 5: Solve for x
    x = 513,128,052,906,559,808/898,320,698.90
  6. Step 6: Final answer
    x = 571,208,092.54

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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.