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Finding the Fourth Proportional to 302,725,366,254.30, 454,088,049,381.45 and 302,725,366,254.30

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Solution

The fourth proportional to 302,725,366,254.30, 454,088,049,381.45 and 302,725,366,254.30 is: 454,088,049,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,725,366,254.30 : 454,088,049,381.45 = 302,725,366,254.30 : x
  2. Step 2: Convert to fraction form
    302,725,366,254.30/454,088,049,381.45 = 302,725,366,254.30/x
  3. Step 3: Cross multiply
    302,725,366,254.30x = 454,088,049,381.45 × 302,725,366,254.30
  4. Step 4: Simplify right side
    302,725,366,254.30x = 137,463,971,060,700,111,962,112
  5. Step 5: Solve for x
    x = 137,463,971,060,700,111,962,112/302,725,366,254.30
  6. Step 6: Final answer
    x = 454,088,049,381.45

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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.