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Finding the Fourth Proportional to 349,104,457,951.80, 523,656,686,927.70 and 349,104,457,951.80

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Solution

The fourth proportional to 349,104,457,951.80, 523,656,686,927.70 and 349,104,457,951.80 is: 523,656,686,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,104,457,951.80 : 523,656,686,927.70 = 349,104,457,951.80 : x
  2. Step 2: Convert to fraction form
    349,104,457,951.80/523,656,686,927.70 = 349,104,457,951.80/x
  3. Step 3: Cross multiply
    349,104,457,951.80x = 523,656,686,927.70 × 349,104,457,951.80
  4. Step 4: Simplify right side
    349,104,457,951.80x = 182,810,883,842,730,149,019,648
  5. Step 5: Solve for x
    x = 182,810,883,842,730,149,019,648/349,104,457,951.80
  6. Step 6: Final answer
    x = 523,656,686,927.70

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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.