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Finding the Fourth Proportional to 853,013,047.80, 1,197,662,004.60 and 853,013,047.80

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Solution

The fourth proportional to 853,013,047.80, 1,197,662,004.60 and 853,013,047.80 is: 1,197,662,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,013,047.80 : 1,197,662,004.60 = 853,013,047.80 : x
  2. Step 2: Convert to fraction form
    853,013,047.80/1,197,662,004.60 = 853,013,047.80/x
  3. Step 3: Cross multiply
    853,013,047.80x = 1,197,662,004.60 × 853,013,047.80
  4. Step 4: Simplify right side
    853,013,047.80x = 1,021,621,316,778,103,424
  5. Step 5: Solve for x
    x = 1,021,621,316,778,103,424/853,013,047.80
  6. Step 6: Final answer
    x = 1,197,662,004.60

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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.