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Finding the Fourth Proportional to 290,509,543.80, 435,764,315.70 and 290,509,543.80

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Solution

The fourth proportional to 290,509,543.80, 435,764,315.70 and 290,509,543.80 is: 435,764,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,509,543.80 : 435,764,315.70 = 290,509,543.80 : x
  2. Step 2: Convert to fraction form
    290,509,543.80/435,764,315.70 = 290,509,543.80/x
  3. Step 3: Cross multiply
    290,509,543.80x = 435,764,315.70 × 290,509,543.80
  4. Step 4: Simplify right side
    290,509,543.80x = 126,593,692,558,326,176
  5. Step 5: Solve for x
    x = 126,593,692,558,326,176/290,509,543.80
  6. Step 6: Final answer
    x = 435,764,315.70

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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.