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Finding the Fourth Proportional to 760,327,858.02, 1,049,252,870.97 and 412,647,346.02

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Solution

The fourth proportional to 760,327,858.02, 1,049,252,870.97 and 412,647,346.02 is: 569,453,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,327,858.02 : 1,049,252,870.97 = 412,647,346.02 : x
  2. Step 2: Convert to fraction form
    760,327,858.02/1,049,252,870.97 = 412,647,346.02/x
  3. Step 3: Cross multiply
    760,327,858.02x = 1,049,252,870.97 × 412,647,346.02
  4. Step 4: Simplify right side
    760,327,858.02x = 432,971,412,509,635,968
  5. Step 5: Solve for x
    x = 432,971,412,509,635,968/760,327,858.02
  6. Step 6: Final answer
    x = 569,453,569.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.