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Finding the Fourth Proportional to 298,980,998.10, 448,471,497.15 and 264,968,774.10

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Solution

The fourth proportional to 298,980,998.10, 448,471,497.15 and 264,968,774.10 is: 397,453,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,980,998.10 : 448,471,497.15 = 264,968,774.10 : x
  2. Step 2: Convert to fraction form
    298,980,998.10/448,471,497.15 = 264,968,774.10/x
  3. Step 3: Cross multiply
    298,980,998.10x = 448,471,497.15 × 264,968,774.10
  4. Step 4: Simplify right side
    298,980,998.10x = 118,830,942,818,627,136
  5. Step 5: Solve for x
    x = 118,830,942,818,627,136/298,980,998.10
  6. Step 6: Final answer
    x = 397,453,161.15

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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.