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Finding the Fourth Proportional to 28,973,493,643.65, 43,460,240,465.49 and 28,973,493,643.65

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Solution

The fourth proportional to 28,973,493,643.65, 43,460,240,465.49 and 28,973,493,643.65 is: 43,460,240,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,973,493,643.65 : 43,460,240,465.49 = 28,973,493,643.65 : x
  2. Step 2: Convert to fraction form
    28,973,493,643.65/43,460,240,465.49 = 28,973,493,643.65/x
  3. Step 3: Cross multiply
    28,973,493,643.65x = 43,460,240,465.49 × 28,973,493,643.65
  4. Step 4: Simplify right side
    28,973,493,643.65x = 1,259,195,000,878,375,108,608
  5. Step 5: Solve for x
    x = 1,259,195,000,878,375,108,608/28,973,493,643.65
  6. Step 6: Final answer
    x = 43,460,240,465.49

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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.