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Finding the Fourth Proportional to 1,004,029,794,014, 1,506,044,691,021.10 and 1,004,029,794,014

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Solution

The fourth proportional to 1,004,029,794,014, 1,506,044,691,021.10 and 1,004,029,794,014 is: 1,506,044,691,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,029,794,014 : 1,506,044,691,021.10 = 1,004,029,794,014 : x
  2. Step 2: Convert to fraction form
    1,004,029,794,014/1,506,044,691,021.10 = 1,004,029,794,014/x
  3. Step 3: Cross multiply
    1,004,029,794,014x = 1,506,044,691,021.10 × 1,004,029,794,014
  4. Step 4: Simplify right side
    1,004,029,794,014x = 1,512,113,740,901,793,312,800,768
  5. Step 5: Solve for x
    x = 1,512,113,740,901,793,312,800,768/1,004,029,794,014
  6. Step 6: Final answer
    x = 1,506,044,691,021.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.