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Finding the Fourth Proportional to 419,130,261,036.68, 628,695,391,555.01 and 419,130,261,036.68

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Solution

The fourth proportional to 419,130,261,036.68, 628,695,391,555.01 and 419,130,261,036.68 is: 628,695,391,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,130,261,036.68 : 628,695,391,555.01 = 419,130,261,036.68 : x
  2. Step 2: Convert to fraction form
    419,130,261,036.68/628,695,391,555.01 = 419,130,261,036.68/x
  3. Step 3: Cross multiply
    419,130,261,036.68x = 628,695,391,555.01 × 419,130,261,036.68
  4. Step 4: Simplify right side
    419,130,261,036.68x = 263,505,263,575,009,071,202,304
  5. Step 5: Solve for x
    x = 263,505,263,575,009,071,202,304/419,130,261,036.68
  6. Step 6: Final answer
    x = 628,695,391,555.01

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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.