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Finding the Fourth Proportional to 204,427,638,011.65, 306,641,457,017.47 and 204,427,638,011.65

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Solution

The fourth proportional to 204,427,638,011.65, 306,641,457,017.47 and 204,427,638,011.65 is: 306,641,457,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,427,638,011.65 : 306,641,457,017.47 = 204,427,638,011.65 : x
  2. Step 2: Convert to fraction form
    204,427,638,011.65/306,641,457,017.47 = 204,427,638,011.65/x
  3. Step 3: Cross multiply
    204,427,638,011.65x = 306,641,457,017.47 × 204,427,638,011.65
  4. Step 4: Simplify right side
    204,427,638,011.65x = 62,685,988,774,532,282,843,136
  5. Step 5: Solve for x
    x = 62,685,988,774,532,282,843,136/204,427,638,011.65
  6. Step 6: Final answer
    x = 306,641,457,017.47

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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.