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Finding the Fourth Proportional to 447,956,352,406.40, 671,934,528,609.60 and 447,956,352,406.40

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Solution

The fourth proportional to 447,956,352,406.40, 671,934,528,609.60 and 447,956,352,406.40 is: 671,934,528,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,956,352,406.40 : 671,934,528,609.60 = 447,956,352,406.40 : x
  2. Step 2: Convert to fraction form
    447,956,352,406.40/671,934,528,609.60 = 447,956,352,406.40/x
  3. Step 3: Cross multiply
    447,956,352,406.40x = 671,934,528,609.60 × 447,956,352,406.40
  4. Step 4: Simplify right side
    447,956,352,406.40x = 300,997,340,491,870,231,330,816
  5. Step 5: Solve for x
    x = 300,997,340,491,870,231,330,816/447,956,352,406.40
  6. Step 6: Final answer
    x = 671,934,528,609.60

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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.