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Finding the Fourth Proportional to 839,808,003.80, 1,259,712,005.70 and 409,826,307.80

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Solution

The fourth proportional to 839,808,003.80, 1,259,712,005.70 and 409,826,307.80 is: 614,739,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,808,003.80 : 1,259,712,005.70 = 409,826,307.80 : x
  2. Step 2: Convert to fraction form
    839,808,003.80/1,259,712,005.70 = 409,826,307.80/x
  3. Step 3: Cross multiply
    839,808,003.80x = 1,259,712,005.70 × 409,826,307.80
  4. Step 4: Simplify right side
    839,808,003.80x = 516,263,120,187,363,584
  5. Step 5: Solve for x
    x = 516,263,120,187,363,584/839,808,003.80
  6. Step 6: Final answer
    x = 614,739,461.70

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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.