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Finding the Fourth Proportional to 293,355,432,068.68, 440,033,148,103.01 and 293,355,432,068.68

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Solution

The fourth proportional to 293,355,432,068.68, 440,033,148,103.01 and 293,355,432,068.68 is: 440,033,148,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,355,432,068.68 : 440,033,148,103.01 = 293,355,432,068.68 : x
  2. Step 2: Convert to fraction form
    293,355,432,068.68/440,033,148,103.01 = 293,355,432,068.68/x
  3. Step 3: Cross multiply
    293,355,432,068.68x = 440,033,148,103.01 × 293,355,432,068.68
  4. Step 4: Simplify right side
    293,355,432,068.68x = 129,086,114,286,299,959,525,376
  5. Step 5: Solve for x
    x = 129,086,114,286,299,959,525,376/293,355,432,068.68
  6. Step 6: Final answer
    x = 440,033,148,103.01

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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.