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Finding the Fourth Proportional to 760,404,230.68, 1,049,177,966.22 and 430,379,369.68

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Solution

The fourth proportional to 760,404,230.68, 1,049,177,966.22 and 430,379,369.68 is: 593,821,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,404,230.68 : 1,049,177,966.22 = 430,379,369.68 : x
  2. Step 2: Convert to fraction form
    760,404,230.68/1,049,177,966.22 = 430,379,369.68/x
  3. Step 3: Cross multiply
    760,404,230.68x = 1,049,177,966.22 × 430,379,369.68
  4. Step 4: Simplify right side
    760,404,230.68x = 451,544,551,783,907,968
  5. Step 5: Solve for x
    x = 451,544,551,783,907,968/760,404,230.68
  6. Step 6: Final answer
    x = 593,821,724.77

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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.