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Finding the Fourth Proportional to 853,013,044.80, 1,197,662,000.40 and 853,013,044.80

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Solution

The fourth proportional to 853,013,044.80, 1,197,662,000.40 and 853,013,044.80 is: 1,197,662,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,013,044.80 : 1,197,662,000.40 = 853,013,044.80 : x
  2. Step 2: Convert to fraction form
    853,013,044.80/1,197,662,000.40 = 853,013,044.80/x
  3. Step 3: Cross multiply
    853,013,044.80x = 1,197,662,000.40 × 853,013,044.80
  4. Step 4: Simplify right side
    853,013,044.80x = 1,021,621,309,602,462,848
  5. Step 5: Solve for x
    x = 1,021,621,309,602,462,848/853,013,044.80
  6. Step 6: Final answer
    x = 1,197,662,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.