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Finding the Fourth Proportional to 344,438,208,069.80, 516,657,312,104.70 and 344,438,208,069.80

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Solution

The fourth proportional to 344,438,208,069.80, 516,657,312,104.70 and 344,438,208,069.80 is: 516,657,312,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,438,208,069.80 : 516,657,312,104.70 = 344,438,208,069.80 : x
  2. Step 2: Convert to fraction form
    344,438,208,069.80/516,657,312,104.70 = 344,438,208,069.80/x
  3. Step 3: Cross multiply
    344,438,208,069.80x = 516,657,312,104.70 × 344,438,208,069.80
  4. Step 4: Simplify right side
    344,438,208,069.80x = 177,956,518,767,502,238,416,896
  5. Step 5: Solve for x
    x = 177,956,518,767,502,238,416,896/344,438,208,069.80
  6. Step 6: Final answer
    x = 516,657,312,104.70

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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.