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Finding the Fourth Proportional to 365,366,973.18, 548,050,459.77 and 365,366,973.18

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Solution

The fourth proportional to 365,366,973.18, 548,050,459.77 and 365,366,973.18 is: 548,050,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,366,973.18 : 548,050,459.77 = 365,366,973.18 : x
  2. Step 2: Convert to fraction form
    365,366,973.18/548,050,459.77 = 365,366,973.18/x
  3. Step 3: Cross multiply
    365,366,973.18x = 548,050,459.77 × 365,366,973.18
  4. Step 4: Simplify right side
    365,366,973.18x = 200,239,537,636,072,256
  5. Step 5: Solve for x
    x = 200,239,537,636,072,256/365,366,973.18
  6. Step 6: Final answer
    x = 548,050,459.77

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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.