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Finding the Fourth Proportional to 506,931,504,013.30, 760,397,256,019.95 and 506,931,504,013.30

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Solution

The fourth proportional to 506,931,504,013.30, 760,397,256,019.95 and 506,931,504,013.30 is: 760,397,256,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,931,504,013.30 : 760,397,256,019.95 = 506,931,504,013.30 : x
  2. Step 2: Convert to fraction form
    506,931,504,013.30/760,397,256,019.95 = 506,931,504,013.30/x
  3. Step 3: Cross multiply
    506,931,504,013.30x = 760,397,256,019.95 × 506,931,504,013.30
  4. Step 4: Simplify right side
    506,931,504,013.30x = 385,469,324,641,779,580,928,000
  5. Step 5: Solve for x
    x = 385,469,324,641,779,580,928,000/506,931,504,013.30
  6. Step 6: Final answer
    x = 760,397,256,019.95

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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.