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Finding the Fourth Proportional to 550,931,809.80, 826,397,714.70 and 550,931,809.80

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Solution

The fourth proportional to 550,931,809.80, 826,397,714.70 and 550,931,809.80 is: 826,397,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,931,809.80 : 826,397,714.70 = 550,931,809.80 : x
  2. Step 2: Convert to fraction form
    550,931,809.80/826,397,714.70 = 550,931,809.80/x
  3. Step 3: Cross multiply
    550,931,809.80x = 826,397,714.70 × 550,931,809.80
  4. Step 4: Simplify right side
    550,931,809.80x = 455,288,788,574,255,040
  5. Step 5: Solve for x
    x = 455,288,788,574,255,040/550,931,809.80
  6. Step 6: Final answer
    x = 826,397,714.70

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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.