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Finding the Fourth Proportional to 573,085,751.40, 857,644,580.70 and 343,219,804.20

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Solution

The fourth proportional to 573,085,751.40, 857,644,580.70 and 343,219,804.20 is: 513,641,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,085,751.40 : 857,644,580.70 = 343,219,804.20 : x
  2. Step 2: Convert to fraction form
    573,085,751.40/857,644,580.70 = 343,219,804.20/x
  3. Step 3: Cross multiply
    573,085,751.40x = 857,644,580.70 × 343,219,804.20
  4. Step 4: Simplify right side
    573,085,751.40x = 294,360,605,061,045,120
  5. Step 5: Solve for x
    x = 294,360,605,061,045,120/573,085,751.40
  6. Step 6: Final answer
    x = 513,641,465.25

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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.