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Finding the Fourth Proportional to 200,411,501.40, 300,617,252.10 and 200,411,501.40

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Solution

The fourth proportional to 200,411,501.40, 300,617,252.10 and 200,411,501.40 is: 300,617,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411,501.40 : 300,617,252.10 = 200,411,501.40 : x
  2. Step 2: Convert to fraction form
    200,411,501.40/300,617,252.10 = 200,411,501.40/x
  3. Step 3: Cross multiply
    200,411,501.40x = 300,617,252.10 × 200,411,501.40
  4. Step 4: Simplify right side
    200,411,501.40x = 60,247,154,840,103,312
  5. Step 5: Solve for x
    x = 60,247,154,840,103,312/200,411,501.40
  6. Step 6: Final answer
    x = 300,617,252.10

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1.5x scale

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.