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Finding the Fourth Proportional to 3,104,744,773,800.90, 4,657,117,160,701.50 and 3,104,744,773,800.90

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Solution

The fourth proportional to 3,104,744,773,800.90, 4,657,117,160,701.50 and 3,104,744,773,800.90 is: 4,657,117,160,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,744,773,800.90 : 4,657,117,160,701.50 = 3,104,744,773,800.90 : x
  2. Step 2: Convert to fraction form
    3,104,744,773,800.90/4,657,117,160,701.50 = 3,104,744,773,800.90/x
  3. Step 3: Cross multiply
    3,104,744,773,800.90x = 4,657,117,160,701.50 × 3,104,744,773,800.90
  4. Step 4: Simplify right side
    3,104,744,773,800.90x = 14,459,160,165,666,468,172,660,736
  5. Step 5: Solve for x
    x = 14,459,160,165,666,468,172,660,736/3,104,744,773,800.90
  6. Step 6: Final answer
    x = 4,657,117,160,701.50

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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.