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Finding the Fourth Proportional to 586,718,667,060.30, 880,078,000,590.45 and 586,718,667,060.30

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Solution

The fourth proportional to 586,718,667,060.30, 880,078,000,590.45 and 586,718,667,060.30 is: 880,078,000,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,718,667,060.30 : 880,078,000,590.45 = 586,718,667,060.30 : x
  2. Step 2: Convert to fraction form
    586,718,667,060.30/880,078,000,590.45 = 586,718,667,060.30/x
  3. Step 3: Cross multiply
    586,718,667,060.30x = 880,078,000,590.45 × 586,718,667,060.30
  4. Step 4: Simplify right side
    586,718,667,060.30x = 516,358,191,415,522,777,628,672
  5. Step 5: Solve for x
    x = 516,358,191,415,522,777,628,672/586,718,667,060.30
  6. Step 6: Final answer
    x = 880,078,000,590.45

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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.