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Finding the Fourth Proportional to 420,876,005.40, 631,314,008.10 and 239,477,477.40

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Solution

The fourth proportional to 420,876,005.40, 631,314,008.10 and 239,477,477.40 is: 359,216,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,876,005.40 : 631,314,008.10 = 239,477,477.40 : x
  2. Step 2: Convert to fraction form
    420,876,005.40/631,314,008.10 = 239,477,477.40/x
  3. Step 3: Cross multiply
    420,876,005.40x = 631,314,008.10 × 239,477,477.40
  4. Step 4: Simplify right side
    420,876,005.40x = 151,185,486,107,071,168
  5. Step 5: Solve for x
    x = 151,185,486,107,071,168/420,876,005.40
  6. Step 6: Final answer
    x = 359,216,216.10

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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.