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Finding the Fourth Proportional to 266,089,764.30, 399,134,646.45 and 266,089,764.30

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Solution

The fourth proportional to 266,089,764.30, 399,134,646.45 and 266,089,764.30 is: 399,134,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,089,764.30 : 399,134,646.45 = 266,089,764.30 : x
  2. Step 2: Convert to fraction form
    266,089,764.30/399,134,646.45 = 266,089,764.30/x
  3. Step 3: Cross multiply
    266,089,764.30x = 399,134,646.45 × 266,089,764.30
  4. Step 4: Simplify right side
    266,089,764.30x = 106,205,643,997,844,336
  5. Step 5: Solve for x
    x = 106,205,643,997,844,336/266,089,764.30
  6. Step 6: Final answer
    x = 399,134,646.45

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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.