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Finding the Fourth Proportional to 180,872,355,783.60, 271,308,533,675.40 and 180,872,355,783.60

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Solution

The fourth proportional to 180,872,355,783.60, 271,308,533,675.40 and 180,872,355,783.60 is: 271,308,533,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,872,355,783.60 : 271,308,533,675.40 = 180,872,355,783.60 : x
  2. Step 2: Convert to fraction form
    180,872,355,783.60/271,308,533,675.40 = 180,872,355,783.60/x
  3. Step 3: Cross multiply
    180,872,355,783.60x = 271,308,533,675.40 × 180,872,355,783.60
  4. Step 4: Simplify right side
    180,872,355,783.60x = 49,072,213,630,063,768,240,128
  5. Step 5: Solve for x
    x = 49,072,213,630,063,768,240,128/180,872,355,783.60
  6. Step 6: Final answer
    x = 271,308,533,675.40

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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.