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Finding the Fourth Proportional to 550,656,601.60, 824,989,574.40 and 320,437,235.20

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Solution

The fourth proportional to 550,656,601.60, 824,989,574.40 and 320,437,235.20 is: 480,076,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,656,601.60 : 824,989,574.40 = 320,437,235.20 : x
  2. Step 2: Convert to fraction form
    550,656,601.60/824,989,574.40 = 320,437,235.20/x
  3. Step 3: Cross multiply
    550,656,601.60x = 824,989,574.40 × 320,437,235.20
  4. Step 4: Simplify right side
    550,656,601.60x = 264,357,378,289,560,672
  5. Step 5: Solve for x
    x = 264,357,378,289,560,672/550,656,601.60
  6. Step 6: Final answer
    x = 480,076,653.07

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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.