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Finding the Fourth Proportional to 510,168,384,054.90, 765,252,576,082.35 and 510,168,384,054.90

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Solution

The fourth proportional to 510,168,384,054.90, 765,252,576,082.35 and 510,168,384,054.90 is: 765,252,576,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,168,384,054.90 : 765,252,576,082.35 = 510,168,384,054.90 : x
  2. Step 2: Convert to fraction form
    510,168,384,054.90/765,252,576,082.35 = 510,168,384,054.90/x
  3. Step 3: Cross multiply
    510,168,384,054.90x = 765,252,576,082.35 × 510,168,384,054.90
  4. Step 4: Simplify right side
    510,168,384,054.90x = 390,407,670,133,781,935,685,632
  5. Step 5: Solve for x
    x = 390,407,670,133,781,935,685,632/510,168,384,054.90
  6. Step 6: Final answer
    x = 765,252,576,082.35

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Similar ratio
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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.