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Finding the Fourth Proportional to 607,420,416,006.40, 911,130,624,009.60 and 607,420,416,006.40

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Solution

The fourth proportional to 607,420,416,006.40, 911,130,624,009.60 and 607,420,416,006.40 is: 911,130,624,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,420,416,006.40 : 911,130,624,009.60 = 607,420,416,006.40 : x
  2. Step 2: Convert to fraction form
    607,420,416,006.40/911,130,624,009.60 = 607,420,416,006.40/x
  3. Step 3: Cross multiply
    607,420,416,006.40x = 911,130,624,009.60 × 607,420,416,006.40
  4. Step 4: Simplify right side
    607,420,416,006.40x = 553,439,342,672,082,030,821,376
  5. Step 5: Solve for x
    x = 553,439,342,672,082,030,821,376/607,420,416,006.40
  6. Step 6: Final answer
    x = 911,130,624,009.60

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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.