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Finding the Fourth Proportional to 599,314,978.80, 897,460,813.80 and 478,382,626.80

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Solution

The fourth proportional to 599,314,978.80, 897,460,813.80 and 478,382,626.80 is: 716,367,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,314,978.80 : 897,460,813.80 = 478,382,626.80 : x
  2. Step 2: Convert to fraction form
    599,314,978.80/897,460,813.80 = 478,382,626.80/x
  3. Step 3: Cross multiply
    599,314,978.80x = 897,460,813.80 × 478,382,626.80
  4. Step 4: Simplify right side
    599,314,978.80x = 429,329,661,555,709,696
  5. Step 5: Solve for x
    x = 429,329,661,555,709,696/599,314,978.80
  6. Step 6: Final answer
    x = 716,367,313.92

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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.