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Finding the Fourth Proportional to 3,170,696,616,007.80, 4,756,044,924,011.80 and 3,170,696,616,007.80

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Solution

The fourth proportional to 3,170,696,616,007.80, 4,756,044,924,011.80 and 3,170,696,616,007.80 is: 4,756,044,924,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170,696,616,007.80 : 4,756,044,924,011.80 = 3,170,696,616,007.80 : x
  2. Step 2: Convert to fraction form
    3,170,696,616,007.80/4,756,044,924,011.80 = 3,170,696,616,007.80/x
  3. Step 3: Cross multiply
    3,170,696,616,007.80x = 4,756,044,924,011.80 × 3,170,696,616,007.80
  4. Step 4: Simplify right side
    3,170,696,616,007.80x = 15,079,975,546,145,287,610,302,464
  5. Step 5: Solve for x
    x = 15,079,975,546,145,287,610,302,464/3,170,696,616,007.80
  6. Step 6: Final answer
    x = 4,756,044,924,011.80

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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.