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Finding the Fourth Proportional to 296,974,242.54, 409,638,038.40 and 176,186,713.68

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Solution

The fourth proportional to 296,974,242.54, 409,638,038.40 and 176,186,713.68 is: 243,027,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,974,242.54 : 409,638,038.40 = 176,186,713.68 : x
  2. Step 2: Convert to fraction form
    296,974,242.54/409,638,038.40 = 176,186,713.68/x
  3. Step 3: Cross multiply
    296,974,242.54x = 409,638,038.40 × 176,186,713.68
  4. Step 4: Simplify right side
    296,974,242.54x = 72,172,779,784,017,648
  5. Step 5: Solve for x
    x = 72,172,779,784,017,648/296,974,242.54
  6. Step 6: Final answer
    x = 243,027,069.17

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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.