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Finding the Fourth Proportional to 519,886,772,463.80, 779,830,158,695.70 and 519,886,772,463.80

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Solution

The fourth proportional to 519,886,772,463.80, 779,830,158,695.70 and 519,886,772,463.80 is: 779,830,158,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,886,772,463.80 : 779,830,158,695.70 = 519,886,772,463.80 : x
  2. Step 2: Convert to fraction form
    519,886,772,463.80/779,830,158,695.70 = 519,886,772,463.80/x
  3. Step 3: Cross multiply
    519,886,772,463.80x = 779,830,158,695.70 × 519,886,772,463.80
  4. Step 4: Simplify right side
    519,886,772,463.80x = 405,423,384,274,240,387,678,208
  5. Step 5: Solve for x
    x = 405,423,384,274,240,387,678,208/519,886,772,463.80
  6. Step 6: Final answer
    x = 779,830,158,695.70

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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.