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Finding the Fourth Proportional to 586,590,512.90, 879,885,769.35 and 314,492,720.90

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Solution

The fourth proportional to 586,590,512.90, 879,885,769.35 and 314,492,720.90 is: 471,739,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,590,512.90 : 879,885,769.35 = 314,492,720.90 : x
  2. Step 2: Convert to fraction form
    586,590,512.90/879,885,769.35 = 314,492,720.90/x
  3. Step 3: Cross multiply
    586,590,512.90x = 879,885,769.35 × 314,492,720.90
  4. Step 4: Simplify right side
    586,590,512.90x = 276,717,669,684,071,296
  5. Step 5: Solve for x
    x = 276,717,669,684,071,296/586,590,512.90
  6. Step 6: Final answer
    x = 471,739,081.35

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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.