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Finding the Fourth Proportional to 598,157,710.20, 838,630,117.80 and 598,157,710.20

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Solution

The fourth proportional to 598,157,710.20, 838,630,117.80 and 598,157,710.20 is: 838,630,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,157,710.20 : 838,630,117.80 = 598,157,710.20 : x
  2. Step 2: Convert to fraction form
    598,157,710.20/838,630,117.80 = 598,157,710.20/x
  3. Step 3: Cross multiply
    598,157,710.20x = 838,630,117.80 × 598,157,710.20
  4. Step 4: Simplify right side
    598,157,710.20x = 501,633,070,968,004,288
  5. Step 5: Solve for x
    x = 501,633,070,968,004,288/598,157,710.20
  6. Step 6: Final answer
    x = 838,630,117.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.