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Finding the Fourth Proportional to 2,152,690,802.10, 3,021,930,056.70 and 2,152,690,802.10

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Solution

The fourth proportional to 2,152,690,802.10, 3,021,930,056.70 and 2,152,690,802.10 is: 3,021,930,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,690,802.10 : 3,021,930,056.70 = 2,152,690,802.10 : x
  2. Step 2: Convert to fraction form
    2,152,690,802.10/3,021,930,056.70 = 2,152,690,802.10/x
  3. Step 3: Cross multiply
    2,152,690,802.10x = 3,021,930,056.70 × 2,152,690,802.10
  4. Step 4: Simplify right side
    2,152,690,802.10x = 6,505,281,037,647,621,120
  5. Step 5: Solve for x
    x = 6,505,281,037,647,621,120/2,152,690,802.10
  6. Step 6: Final answer
    x = 3,021,930,056.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.