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Finding the Fourth Proportional to 573,085,802.40, 857,644,657.20 and 343,219,855.20

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Solution

The fourth proportional to 573,085,802.40, 857,644,657.20 and 343,219,855.20 is: 513,641,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,085,802.40 : 857,644,657.20 = 343,219,855.20 : x
  2. Step 2: Convert to fraction form
    573,085,802.40/857,644,657.20 = 343,219,855.20/x
  3. Step 3: Cross multiply
    573,085,802.40x = 857,644,657.20 × 343,219,855.20
  4. Step 4: Simplify right side
    573,085,802.40x = 294,360,675,057,237,632
  5. Step 5: Solve for x
    x = 294,360,675,057,237,632/573,085,802.40
  6. Step 6: Final answer
    x = 513,641,541.68

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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.