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Finding the Fourth Proportional to 2,094,626,656,813.70, 3,141,939,985,220.50 and 2,094,626,656,813.70

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Solution

The fourth proportional to 2,094,626,656,813.70, 3,141,939,985,220.50 and 2,094,626,656,813.70 is: 3,141,939,985,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,626,656,813.70 : 3,141,939,985,220.50 = 2,094,626,656,813.70 : x
  2. Step 2: Convert to fraction form
    2,094,626,656,813.70/3,141,939,985,220.50 = 2,094,626,656,813.70/x
  3. Step 3: Cross multiply
    2,094,626,656,813.70x = 3,141,939,985,220.50 × 2,094,626,656,813.70
  4. Step 4: Simplify right side
    2,094,626,656,813.70x = 6,581,191,247,151,701,898,035,200
  5. Step 5: Solve for x
    x = 6,581,191,247,151,701,898,035,200/2,094,626,656,813.70
  6. Step 6: Final answer
    x = 3,141,939,985,220.50

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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.