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Finding the Fourth Proportional to 419,130,261,036.11, 628,695,391,554.15 and 419,130,261,036.11

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Solution

The fourth proportional to 419,130,261,036.11, 628,695,391,554.15 and 419,130,261,036.11 is: 628,695,391,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,130,261,036.11 : 628,695,391,554.15 = 419,130,261,036.11 : x
  2. Step 2: Convert to fraction form
    419,130,261,036.11/628,695,391,554.15 = 419,130,261,036.11/x
  3. Step 3: Cross multiply
    419,130,261,036.11x = 628,695,391,554.15 × 419,130,261,036.11
  4. Step 4: Simplify right side
    419,130,261,036.11x = 263,505,263,574,290,268,160,000
  5. Step 5: Solve for x
    x = 263,505,263,574,290,268,160,000/419,130,261,036.11
  6. Step 6: Final answer
    x = 628,695,391,554.15

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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.