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Finding the Fourth Proportional to 315,675,954,001.35, 473,513,931,002.02 and 315,675,954,001.35

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Solution

The fourth proportional to 315,675,954,001.35, 473,513,931,002.02 and 315,675,954,001.35 is: 473,513,931,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,675,954,001.35 : 473,513,931,002.02 = 315,675,954,001.35 : x
  2. Step 2: Convert to fraction form
    315,675,954,001.35/473,513,931,002.02 = 315,675,954,001.35/x
  3. Step 3: Cross multiply
    315,675,954,001.35x = 473,513,931,002.02 × 315,675,954,001.35
  4. Step 4: Simplify right side
    315,675,954,001.35x = 149,476,961,901,992,084,504,576
  5. Step 5: Solve for x
    x = 149,476,961,901,992,084,504,576/315,675,954,001.35
  6. Step 6: Final answer
    x = 473,513,931,002.02

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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.