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Finding the Fourth Proportional to 452,495,297.60, 678,742,946.40 and 179,866,064.60

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Solution

The fourth proportional to 452,495,297.60, 678,742,946.40 and 179,866,064.60 is: 269,799,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,495,297.60 : 678,742,946.40 = 179,866,064.60 : x
  2. Step 2: Convert to fraction form
    452,495,297.60/678,742,946.40 = 179,866,064.60/x
  3. Step 3: Cross multiply
    452,495,297.60x = 678,742,946.40 × 179,866,064.60
  4. Step 4: Simplify right side
    452,495,297.60x = 122,082,822,643,976,736
  5. Step 5: Solve for x
    x = 122,082,822,643,976,736/452,495,297.60
  6. Step 6: Final answer
    x = 269,799,096.90

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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.