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Finding the Fourth Proportional to 590,108,807.80, 885,163,211.70 and 417,780,206.20

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Solution

The fourth proportional to 590,108,807.80, 885,163,211.70 and 417,780,206.20 is: 626,670,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,108,807.80 : 885,163,211.70 = 417,780,206.20 : x
  2. Step 2: Convert to fraction form
    590,108,807.80/885,163,211.70 = 417,780,206.20/x
  3. Step 3: Cross multiply
    590,108,807.80x = 885,163,211.70 × 417,780,206.20
  4. Step 4: Simplify right side
    590,108,807.80x = 369,803,669,104,680,256
  5. Step 5: Solve for x
    x = 369,803,669,104,680,256/590,108,807.80
  6. Step 6: Final answer
    x = 626,670,309.30

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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.