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Finding the Fourth Proportional to 452,495,201.10, 678,742,801.65 and 179,865,968.10

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Solution

The fourth proportional to 452,495,201.10, 678,742,801.65 and 179,865,968.10 is: 269,798,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,495,201.10 : 678,742,801.65 = 179,865,968.10 : x
  2. Step 2: Convert to fraction form
    452,495,201.10/678,742,801.65 = 179,865,968.10/x
  3. Step 3: Cross multiply
    452,495,201.10x = 678,742,801.65 × 179,865,968.10
  4. Step 4: Simplify right side
    452,495,201.10x = 122,082,731,109,683,520
  5. Step 5: Solve for x
    x = 122,082,731,109,683,520/452,495,201.10
  6. Step 6: Final answer
    x = 269,798,952.15

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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.