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Finding the Fourth Proportional to 519,886,772,466.80, 779,830,158,700.20 and 519,886,772,466.80

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Solution

The fourth proportional to 519,886,772,466.80, 779,830,158,700.20 and 519,886,772,466.80 is: 779,830,158,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,886,772,466.80 : 779,830,158,700.20 = 519,886,772,466.80 : x
  2. Step 2: Convert to fraction form
    519,886,772,466.80/779,830,158,700.20 = 519,886,772,466.80/x
  3. Step 3: Cross multiply
    519,886,772,466.80x = 779,830,158,700.20 × 519,886,772,466.80
  4. Step 4: Simplify right side
    519,886,772,466.80x = 405,423,384,278,919,351,894,016
  5. Step 5: Solve for x
    x = 405,423,384,278,919,351,894,016/519,886,772,466.80
  6. Step 6: Final answer
    x = 779,830,158,700.20

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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.