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Finding the Fourth Proportional to 565,766,208,002.70, 848,649,312,004.02 and 565,766,208,002.70

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Solution

The fourth proportional to 565,766,208,002.70, 848,649,312,004.02 and 565,766,208,002.70 is: 848,649,312,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,766,208,002.70 : 848,649,312,004.02 = 565,766,208,002.70 : x
  2. Step 2: Convert to fraction form
    565,766,208,002.70/848,649,312,004.02 = 565,766,208,002.70/x
  3. Step 3: Cross multiply
    565,766,208,002.70x = 848,649,312,004.02 × 565,766,208,002.70
  4. Step 4: Simplify right side
    565,766,208,002.70x = 480,137,103,176,614,618,857,472
  5. Step 5: Solve for x
    x = 480,137,103,176,614,618,857,472/565,766,208,002.70
  6. Step 6: Final answer
    x = 848,649,312,004.02

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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.