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Finding the Fourth Proportional to 4,533,234,923,307.40, 6,799,852,384,962.10 and 4,533,234,923,307.40

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Solution

The fourth proportional to 4,533,234,923,307.40, 6,799,852,384,962.10 and 4,533,234,923,307.40 is: 6,799,852,384,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,234,923,307.40 : 6,799,852,384,962.10 = 4,533,234,923,307.40 : x
  2. Step 2: Convert to fraction form
    4,533,234,923,307.40/6,799,852,384,962.10 = 4,533,234,923,307.40/x
  3. Step 3: Cross multiply
    4,533,234,923,307.40x = 6,799,852,384,962.10 × 4,533,234,923,307.40
  4. Step 4: Simplify right side
    4,533,234,923,307.40x = 30,825,328,304,845,307,756,150,784
  5. Step 5: Solve for x
    x = 30,825,328,304,845,307,756,150,784/4,533,234,923,307.40
  6. Step 6: Final answer
    x = 6,799,852,384,962.10

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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.