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Finding the Fourth Proportional to 186,828,905.40, 280,243,358.10 and 186,828,905.40

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Solution

The fourth proportional to 186,828,905.40, 280,243,358.10 and 186,828,905.40 is: 280,243,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,828,905.40 : 280,243,358.10 = 186,828,905.40 : x
  2. Step 2: Convert to fraction form
    186,828,905.40/280,243,358.10 = 186,828,905.40/x
  3. Step 3: Cross multiply
    186,828,905.40x = 280,243,358.10 × 186,828,905.40
  4. Step 4: Simplify right side
    186,828,905.40x = 52,357,559,839,443,232
  5. Step 5: Solve for x
    x = 52,357,559,839,443,232/186,828,905.40
  6. Step 6: Final answer
    x = 280,243,358.10

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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.