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Finding the Fourth Proportional to 300,402,446,783.40, 450,603,670,175.10 and 300,402,446,783.40

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Solution

The fourth proportional to 300,402,446,783.40, 450,603,670,175.10 and 300,402,446,783.40 is: 450,603,670,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,402,446,783.40 : 450,603,670,175.10 = 300,402,446,783.40 : x
  2. Step 2: Convert to fraction form
    300,402,446,783.40/450,603,670,175.10 = 300,402,446,783.40/x
  3. Step 3: Cross multiply
    300,402,446,783.40x = 450,603,670,175.10 × 300,402,446,783.40
  4. Step 4: Simplify right side
    300,402,446,783.40x = 135,362,445,050,180,202,921,984
  5. Step 5: Solve for x
    x = 135,362,445,050,180,202,921,984/300,402,446,783.40
  6. Step 6: Final answer
    x = 450,603,670,175.10

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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.