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Finding the Fourth Proportional to 4,533,234,923,265.40, 6,799,852,384,897.90 and 4,533,234,923,265.40

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Solution

The fourth proportional to 4,533,234,923,265.40, 6,799,852,384,897.90 and 4,533,234,923,265.40 is: 6,799,852,384,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,234,923,265.40 : 6,799,852,384,897.90 = 4,533,234,923,265.40 : x
  2. Step 2: Convert to fraction form
    4,533,234,923,265.40/6,799,852,384,897.90 = 4,533,234,923,265.40/x
  3. Step 3: Cross multiply
    4,533,234,923,265.40x = 6,799,852,384,897.90 × 4,533,234,923,265.40
  4. Step 4: Simplify right side
    4,533,234,923,265.40x = 30,825,328,304,268,682,626,859,008
  5. Step 5: Solve for x
    x = 30,825,328,304,268,682,626,859,008/4,533,234,923,265.40
  6. Step 6: Final answer
    x = 6,799,852,384,897.90

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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.