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Finding the Fourth Proportional to 180,872,352,037.10, 271,308,528,055.65 and 180,872,352,037.10

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Solution

The fourth proportional to 180,872,352,037.10, 271,308,528,055.65 and 180,872,352,037.10 is: 271,308,528,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,872,352,037.10 : 271,308,528,055.65 = 180,872,352,037.10 : x
  2. Step 2: Convert to fraction form
    180,872,352,037.10/271,308,528,055.65 = 180,872,352,037.10/x
  3. Step 3: Cross multiply
    180,872,352,037.10x = 271,308,528,055.65 × 180,872,352,037.10
  4. Step 4: Simplify right side
    180,872,352,037.10x = 49,072,211,597,148,951,674,880
  5. Step 5: Solve for x
    x = 49,072,211,597,148,951,674,880/180,872,352,037.10
  6. Step 6: Final answer
    x = 271,308,528,055.65

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1.5x scale

Why These Related Problems?

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