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Finding the Fourth Proportional to 474,876,064.80, 712,314,097.20 and 293,477,536.80

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Solution

The fourth proportional to 474,876,064.80, 712,314,097.20 and 293,477,536.80 is: 440,216,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,876,064.80 : 712,314,097.20 = 293,477,536.80 : x
  2. Step 2: Convert to fraction form
    474,876,064.80/712,314,097.20 = 293,477,536.80/x
  3. Step 3: Cross multiply
    474,876,064.80x = 712,314,097.20 × 293,477,536.80
  4. Step 4: Simplify right side
    474,876,064.80x = 209,048,186,674,171,808
  5. Step 5: Solve for x
    x = 209,048,186,674,171,808/474,876,064.80
  6. Step 6: Final answer
    x = 440,216,305.20

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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.