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Finding the Fourth Proportional to 178,015,105,359.20, 249,588,065,216.80 and 178,015,105,359.20

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Solution

The fourth proportional to 178,015,105,359.20, 249,588,065,216.80 and 178,015,105,359.20 is: 249,588,065,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,015,105,359.20 : 249,588,065,216.80 = 178,015,105,359.20 : x
  2. Step 2: Convert to fraction form
    178,015,105,359.20/249,588,065,216.80 = 178,015,105,359.20/x
  3. Step 3: Cross multiply
    178,015,105,359.20x = 249,588,065,216.80 × 178,015,105,359.20
  4. Step 4: Simplify right side
    178,015,105,359.20x = 44,430,445,725,967,533,998,080
  5. Step 5: Solve for x
    x = 44,430,445,725,967,533,998,080/178,015,105,359.20
  6. Step 6: Final answer
    x = 249,588,065,216.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.