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Finding the Fourth Proportional to 8,549,714,758.40, 12,804,164,803.20 and 8,549,714,758.40

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Solution

The fourth proportional to 8,549,714,758.40, 12,804,164,803.20 and 8,549,714,758.40 is: 12,804,164,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549,714,758.40 : 12,804,164,803.20 = 8,549,714,758.40 : x
  2. Step 2: Convert to fraction form
    8,549,714,758.40/12,804,164,803.20 = 8,549,714,758.40/x
  3. Step 3: Cross multiply
    8,549,714,758.40x = 12,804,164,803.20 × 8,549,714,758.40
  4. Step 4: Simplify right side
    8,549,714,758.40x = 109,471,956,786,904,875,008
  5. Step 5: Solve for x
    x = 109,471,956,786,904,875,008/8,549,714,758.40
  6. Step 6: Final answer
    x = 12,804,164,803.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.