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Finding the Fourth Proportional to 588,673,312.80, 883,009,969.20 and 200,367,088.80

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Solution

The fourth proportional to 588,673,312.80, 883,009,969.20 and 200,367,088.80 is: 300,550,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,673,312.80 : 883,009,969.20 = 200,367,088.80 : x
  2. Step 2: Convert to fraction form
    588,673,312.80/883,009,969.20 = 200,367,088.80/x
  3. Step 3: Cross multiply
    588,673,312.80x = 883,009,969.20 × 200,367,088.80
  4. Step 4: Simplify right side
    588,673,312.80x = 176,926,136,909,981,696
  5. Step 5: Solve for x
    x = 176,926,136,909,981,696/588,673,312.80
  6. Step 6: Final answer
    x = 300,550,633.20

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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.