Home / 509,047,038,912.23-762,706,484,466.07-307,164,589,667.62

Finding the Fourth Proportional to 509,047,038,912.23, 762,706,484,466.07 and 307,164,589,667.62

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Solution

The fourth proportional to 509,047,038,912.23, 762,706,484,466.07 and 307,164,589,667.62 is: 460,225,492,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,047,038,912.23 : 762,706,484,466.07 = 307,164,589,667.62 : x
  2. Step 2: Convert to fraction form
    509,047,038,912.23/762,706,484,466.07 = 307,164,589,667.62/x
  3. Step 3: Cross multiply
    509,047,038,912.23x = 762,706,484,466.07 × 307,164,589,667.62
  4. Step 4: Simplify right side
    509,047,038,912.23x = 234,276,424,337,853,354,344,448
  5. Step 5: Solve for x
    x = 234,276,424,337,853,354,344,448/509,047,038,912.23
  6. Step 6: Final answer
    x = 460,225,492,792.32

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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.