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Finding the Fourth Proportional to 149,771,647.20, 210,133,802.40 and 149,771,647.20

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Solution

The fourth proportional to 149,771,647.20, 210,133,802.40 and 149,771,647.20 is: 210,133,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,771,647.20 : 210,133,802.40 = 149,771,647.20 : x
  2. Step 2: Convert to fraction form
    149,771,647.20/210,133,802.40 = 149,771,647.20/x
  3. Step 3: Cross multiply
    149,771,647.20x = 210,133,802.40 × 149,771,647.20
  4. Step 4: Simplify right side
    149,771,647.20x = 31,472,085,717,847,312
  5. Step 5: Solve for x
    x = 31,472,085,717,847,312/149,771,647.20
  6. Step 6: Final answer
    x = 210,133,802.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.