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Finding the Fourth Proportional to 258,989,827.90, 388,484,741.85 and 258,989,827.90

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Solution

The fourth proportional to 258,989,827.90, 388,484,741.85 and 258,989,827.90 is: 388,484,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,989,827.90 : 388,484,741.85 = 258,989,827.90 : x
  2. Step 2: Convert to fraction form
    258,989,827.90/388,484,741.85 = 258,989,827.90/x
  3. Step 3: Cross multiply
    258,989,827.90x = 388,484,741.85 × 258,989,827.90
  4. Step 4: Simplify right side
    258,989,827.90x = 100,613,596,433,507,440
  5. Step 5: Solve for x
    x = 100,613,596,433,507,440/258,989,827.90
  6. Step 6: Final answer
    x = 388,484,741.85

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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.