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Finding the Fourth Proportional to 879,453,772.32, 1,213,641,795.14 and 477,563,931.10

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Solution

The fourth proportional to 879,453,772.32, 1,213,641,795.14 and 477,563,931.10 is: 659,035,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,453,772.32 : 1,213,641,795.14 = 477,563,931.10 : x
  2. Step 2: Convert to fraction form
    879,453,772.32/1,213,641,795.14 = 477,563,931.10/x
  3. Step 3: Cross multiply
    879,453,772.32x = 1,213,641,795.14 × 477,563,931.10
  4. Step 4: Simplify right side
    879,453,772.32x = 579,591,546,634,319,360
  5. Step 5: Solve for x
    x = 579,591,546,634,319,360/879,453,772.32
  6. Step 6: Final answer
    x = 659,035,829.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.