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Finding the Fourth Proportional to 876,798,085.73, 1,209,971,715.44 and 474,901,835.87

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Solution

The fourth proportional to 876,798,085.73, 1,209,971,715.44 and 474,901,835.87 is: 655,359,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,798,085.73 : 1,209,971,715.44 = 474,901,835.87 : x
  2. Step 2: Convert to fraction form
    876,798,085.73/1,209,971,715.44 = 474,901,835.87/x
  3. Step 3: Cross multiply
    876,798,085.73x = 1,209,971,715.44 × 474,901,835.87
  4. Step 4: Simplify right side
    876,798,085.73x = 574,617,789,013,879,616
  5. Step 5: Solve for x
    x = 574,617,789,013,879,616/876,798,085.73
  6. Step 6: Final answer
    x = 655,359,310.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.