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Finding the Fourth Proportional to 512,477,625.60, 768,716,438.40 and 507,700,051.20

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Solution

The fourth proportional to 512,477,625.60, 768,716,438.40 and 507,700,051.20 is: 761,550,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,477,625.60 : 768,716,438.40 = 507,700,051.20 : x
  2. Step 2: Convert to fraction form
    512,477,625.60/768,716,438.40 = 507,700,051.20/x
  3. Step 3: Cross multiply
    512,477,625.60x = 768,716,438.40 × 507,700,051.20
  4. Step 4: Simplify right side
    512,477,625.60x = 390,277,375,133,961,600
  5. Step 5: Solve for x
    x = 390,277,375,133,961,600/512,477,625.60
  6. Step 6: Final answer
    x = 761,550,076.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.