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Finding the Fourth Proportional to 668,514,897.35, 1,002,772,346.03 and 668,514,897.35

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Solution

The fourth proportional to 668,514,897.35, 1,002,772,346.03 and 668,514,897.35 is: 1,002,772,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,514,897.35 : 1,002,772,346.03 = 668,514,897.35 : x
  2. Step 2: Convert to fraction form
    668,514,897.35/1,002,772,346.03 = 668,514,897.35/x
  3. Step 3: Cross multiply
    668,514,897.35x = 1,002,772,346.03 × 668,514,897.35
  4. Step 4: Simplify right side
    668,514,897.35x = 670,368,251,968,321,536
  5. Step 5: Solve for x
    x = 670,368,251,968,321,536/668,514,897.35
  6. Step 6: Final answer
    x = 1,002,772,346.03

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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.