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Finding the Fourth Proportional to 1,024,906,509.60, 1,537,359,764.40 and 472,207,869.60

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Solution

The fourth proportional to 1,024,906,509.60, 1,537,359,764.40 and 472,207,869.60 is: 708,311,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,906,509.60 : 1,537,359,764.40 = 472,207,869.60 : x
  2. Step 2: Convert to fraction form
    1,024,906,509.60/1,537,359,764.40 = 472,207,869.60/x
  3. Step 3: Cross multiply
    1,024,906,509.60x = 1,537,359,764.40 × 472,207,869.60
  4. Step 4: Simplify right side
    1,024,906,509.60x = 725,953,379,156,082,048
  5. Step 5: Solve for x
    x = 725,953,379,156,082,048/1,024,906,509.60
  6. Step 6: Final answer
    x = 708,311,804.40

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Double scale
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1.5x scale

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.