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Finding the Fourth Proportional to 538,800,816.80, 808,201,225.20 and 409,660,653.80

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Solution

The fourth proportional to 538,800,816.80, 808,201,225.20 and 409,660,653.80 is: 614,490,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,800,816.80 : 808,201,225.20 = 409,660,653.80 : x
  2. Step 2: Convert to fraction form
    538,800,816.80/808,201,225.20 = 409,660,653.80/x
  3. Step 3: Cross multiply
    538,800,816.80x = 808,201,225.20 × 409,660,653.80
  4. Step 4: Simplify right side
    538,800,816.80x = 331,088,242,317,393,088
  5. Step 5: Solve for x
    x = 331,088,242,317,393,088/538,800,816.80
  6. Step 6: Final answer
    x = 614,490,980.70

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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.