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Finding the Fourth Proportional to 385,255,872,003.80, 577,883,808,005.70 and 385,255,872,003.80

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Solution

The fourth proportional to 385,255,872,003.80, 577,883,808,005.70 and 385,255,872,003.80 is: 577,883,808,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,255,872,003.80 : 577,883,808,005.70 = 385,255,872,003.80 : x
  2. Step 2: Convert to fraction form
    385,255,872,003.80/577,883,808,005.70 = 385,255,872,003.80/x
  3. Step 3: Cross multiply
    385,255,872,003.80x = 577,883,808,005.70 × 385,255,872,003.80
  4. Step 4: Simplify right side
    385,255,872,003.80x = 222,633,130,370,112,468,025,344
  5. Step 5: Solve for x
    x = 222,633,130,370,112,468,025,344/385,255,872,003.80
  6. Step 6: Final answer
    x = 577,883,808,005.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.