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Finding the Fourth Proportional to 11,140,594,648.70, 16,710,891,973.05 and 11,140,594,648.70

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Solution

The fourth proportional to 11,140,594,648.70, 16,710,891,973.05 and 11,140,594,648.70 is: 16,710,891,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140,594,648.70 : 16,710,891,973.05 = 11,140,594,648.70 : x
  2. Step 2: Convert to fraction form
    11,140,594,648.70/16,710,891,973.05 = 11,140,594,648.70/x
  3. Step 3: Cross multiply
    11,140,594,648.70x = 16,710,891,973.05 × 11,140,594,648.70
  4. Step 4: Simplify right side
    11,140,594,648.70x = 186,169,273,689,964,609,536
  5. Step 5: Solve for x
    x = 186,169,273,689,964,609,536/11,140,594,648.70
  6. Step 6: Final answer
    x = 16,710,891,973.05

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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.