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Finding the Fourth Proportional to 522,920,592,003.40, 784,380,888,005.10 and 522,920,592,003.40

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Solution

The fourth proportional to 522,920,592,003.40, 784,380,888,005.10 and 522,920,592,003.40 is: 784,380,888,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,920,592,003.40 : 784,380,888,005.10 = 522,920,592,003.40 : x
  2. Step 2: Convert to fraction form
    522,920,592,003.40/784,380,888,005.10 = 522,920,592,003.40/x
  3. Step 3: Cross multiply
    522,920,592,003.40x = 784,380,888,005.10 × 522,920,592,003.40
  4. Step 4: Simplify right side
    522,920,592,003.40x = 410,168,918,311,779,499,507,712
  5. Step 5: Solve for x
    x = 410,168,918,311,779,499,507,712/522,920,592,003.40
  6. Step 6: Final answer
    x = 784,380,888,005.10

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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.