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Finding the Fourth Proportional to 497,670,803.60, 746,506,205.40 and 293,093,574.80

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Solution

The fourth proportional to 497,670,803.60, 746,506,205.40 and 293,093,574.80 is: 439,640,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,670,803.60 : 746,506,205.40 = 293,093,574.80 : x
  2. Step 2: Convert to fraction form
    497,670,803.60/746,506,205.40 = 293,093,574.80/x
  3. Step 3: Cross multiply
    497,670,803.60x = 746,506,205.40 × 293,093,574.80
  4. Step 4: Simplify right side
    497,670,803.60x = 218,796,172,351,069,056
  5. Step 5: Solve for x
    x = 218,796,172,351,069,056/497,670,803.60
  6. Step 6: Final answer
    x = 439,640,362.20

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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.