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Finding the Fourth Proportional to 231,056,064,015.80, 346,033,097,994.90 and 231,056,064,015.80

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Solution

The fourth proportional to 231,056,064,015.80, 346,033,097,994.90 and 231,056,064,015.80 is: 346,033,097,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,056,064,015.80 : 346,033,097,994.90 = 231,056,064,015.80 : x
  2. Step 2: Convert to fraction form
    231,056,064,015.80/346,033,097,994.90 = 231,056,064,015.80/x
  3. Step 3: Cross multiply
    231,056,064,015.80x = 346,033,097,994.90 × 231,056,064,015.80
  4. Step 4: Simplify right side
    231,056,064,015.80x = 79,953,045,641,895,218,249,728
  5. Step 5: Solve for x
    x = 79,953,045,641,895,218,249,728/231,056,064,015.80
  6. Step 6: Final answer
    x = 346,033,097,994.90

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1.5x scale

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.