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Finding the Fourth Proportional to 554,866,704.80, 832,048,114.80 and 209,705,616.80

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Solution

The fourth proportional to 554,866,704.80, 832,048,114.80 and 209,705,616.80 is: 314,463,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,866,704.80 : 832,048,114.80 = 209,705,616.80 : x
  2. Step 2: Convert to fraction form
    554,866,704.80/832,048,114.80 = 209,705,616.80/x
  3. Step 3: Cross multiply
    554,866,704.80x = 832,048,114.80 × 209,705,616.80
  4. Step 4: Simplify right side
    554,866,704.80x = 174,485,163,121,411,200
  5. Step 5: Solve for x
    x = 174,485,163,121,411,200/554,866,704.80
  6. Step 6: Final answer
    x = 314,463,206.41

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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.