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Finding the Fourth Proportional to 186,228,037,698.40, 279,342,056,547.60 and 186,228,037,698.40

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Solution

The fourth proportional to 186,228,037,698.40, 279,342,056,547.60 and 186,228,037,698.40 is: 279,342,056,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,228,037,698.40 : 279,342,056,547.60 = 186,228,037,698.40 : x
  2. Step 2: Convert to fraction form
    186,228,037,698.40/279,342,056,547.60 = 186,228,037,698.40/x
  3. Step 3: Cross multiply
    186,228,037,698.40x = 279,342,056,547.60 × 186,228,037,698.40
  4. Step 4: Simplify right side
    186,228,037,698.40x = 52,021,323,037,495,028,350,976
  5. Step 5: Solve for x
    x = 52,021,323,037,495,028,350,976/186,228,037,698.40
  6. Step 6: Final answer
    x = 279,342,056,547.60

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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.