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Finding the Fourth Proportional to 7,064,496,005.20, 10,573,785,756.60 and 7,064,496,005.20

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Solution

The fourth proportional to 7,064,496,005.20, 10,573,785,756.60 and 7,064,496,005.20 is: 10,573,785,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064,496,005.20 : 10,573,785,756.60 = 7,064,496,005.20 : x
  2. Step 2: Convert to fraction form
    7,064,496,005.20/10,573,785,756.60 = 7,064,496,005.20/x
  3. Step 3: Cross multiply
    7,064,496,005.20x = 10,573,785,756.60 × 7,064,496,005.20
  4. Step 4: Simplify right side
    7,064,496,005.20x = 74,698,467,237,341,364,224
  5. Step 5: Solve for x
    x = 74,698,467,237,341,364,224/7,064,496,005.20
  6. Step 6: Final answer
    x = 10,573,785,756.60

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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.