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Finding the Fourth Proportional to 510,498,705.60, 765,748,058.40 and 147,029,803.20

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Solution

The fourth proportional to 510,498,705.60, 765,748,058.40 and 147,029,803.20 is: 220,544,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,498,705.60 : 765,748,058.40 = 147,029,803.20 : x
  2. Step 2: Convert to fraction form
    510,498,705.60/765,748,058.40 = 147,029,803.20/x
  3. Step 3: Cross multiply
    510,498,705.60x = 765,748,058.40 × 147,029,803.20
  4. Step 4: Simplify right side
    510,498,705.60x = 112,587,786,327,334,096
  5. Step 5: Solve for x
    x = 112,587,786,327,334,096/510,498,705.60
  6. Step 6: Final answer
    x = 220,544,704.80

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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.