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Finding the Fourth Proportional to 155,143,231,698.01, 232,714,847,547.02 and 155,143,231,698.01

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Solution

The fourth proportional to 155,143,231,698.01, 232,714,847,547.02 and 155,143,231,698.01 is: 232,714,847,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,143,231,698.01 : 232,714,847,547.02 = 155,143,231,698.01 : x
  2. Step 2: Convert to fraction form
    155,143,231,698.01/232,714,847,547.02 = 155,143,231,698.01/x
  3. Step 3: Cross multiply
    155,143,231,698.01x = 232,714,847,547.02 × 155,143,231,698.01
  4. Step 4: Simplify right side
    155,143,231,698.01x = 36,104,133,512,554,396,778,496
  5. Step 5: Solve for x
    x = 36,104,133,512,554,396,778,496/155,143,231,698.01
  6. Step 6: Final answer
    x = 232,714,847,547.02

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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.