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Finding the Fourth Proportional to 2,029,120,736,633.90, 3,043,681,104,950.50 and 2,029,120,736,633.90

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Solution

The fourth proportional to 2,029,120,736,633.90, 3,043,681,104,950.50 and 2,029,120,736,633.90 is: 3,043,681,104,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,120,736,633.90 : 3,043,681,104,950.50 = 2,029,120,736,633.90 : x
  2. Step 2: Convert to fraction form
    2,029,120,736,633.90/3,043,681,104,950.50 = 2,029,120,736,633.90/x
  3. Step 3: Cross multiply
    2,029,120,736,633.90x = 3,043,681,104,950.50 × 2,029,120,736,633.90
  4. Step 4: Simplify right side
    2,029,120,736,633.90x = 6,175,996,445,755,840,634,290,176
  5. Step 5: Solve for x
    x = 6,175,996,445,755,840,634,290,176/2,029,120,736,633.90
  6. Step 6: Final answer
    x = 3,043,681,104,950.50

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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.