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Finding the Fourth Proportional to 409,709,264.05, 614,563,896.08 and 409,709,264.05

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Solution

The fourth proportional to 409,709,264.05, 614,563,896.08 and 409,709,264.05 is: 614,563,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,709,264.05 : 614,563,896.08 = 409,709,264.05 : x
  2. Step 2: Convert to fraction form
    409,709,264.05/614,563,896.08 = 409,709,264.05/x
  3. Step 3: Cross multiply
    409,709,264.05x = 614,563,896.08 × 409,709,264.05
  4. Step 4: Simplify right side
    409,709,264.05x = 251,792,521,572,588,960
  5. Step 5: Solve for x
    x = 251,792,521,572,588,960/409,709,264.05
  6. Step 6: Final answer
    x = 614,563,896.08

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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.