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Finding the Fourth Proportional to 303,101,411.40, 454,652,117.10 and 303,101,411.40

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Solution

The fourth proportional to 303,101,411.40, 454,652,117.10 and 303,101,411.40 is: 454,652,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,101,411.40 : 454,652,117.10 = 303,101,411.40 : x
  2. Step 2: Convert to fraction form
    303,101,411.40/454,652,117.10 = 303,101,411.40/x
  3. Step 3: Cross multiply
    303,101,411.40x = 454,652,117.10 × 303,101,411.40
  4. Step 4: Simplify right side
    303,101,411.40x = 137,805,698,389,008,064
  5. Step 5: Solve for x
    x = 137,805,698,389,008,064/303,101,411.40
  6. Step 6: Final answer
    x = 454,652,117.10

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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.