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Finding the Fourth Proportional to 154,037,376,019.20, 230,688,732,009.60 and 154,037,376,019.20

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Solution

The fourth proportional to 154,037,376,019.20, 230,688,732,009.60 and 154,037,376,019.20 is: 230,688,732,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,037,376,019.20 : 230,688,732,009.60 = 154,037,376,019.20 : x
  2. Step 2: Convert to fraction form
    154,037,376,019.20/230,688,732,009.60 = 154,037,376,019.20/x
  3. Step 3: Cross multiply
    154,037,376,019.20x = 230,688,732,009.60 × 154,037,376,019.20
  4. Step 4: Simplify right side
    154,037,376,019.20x = 35,534,686,955,955,216,711,680
  5. Step 5: Solve for x
    x = 35,534,686,955,955,216,711,680/154,037,376,019.20
  6. Step 6: Final answer
    x = 230,688,732,009.60

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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.