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Finding the Fourth Proportional to 533,952,030.40, 800,928,045.60 and 533,952,030.40

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Solution

The fourth proportional to 533,952,030.40, 800,928,045.60 and 533,952,030.40 is: 800,928,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,952,030.40 : 800,928,045.60 = 533,952,030.40 : x
  2. Step 2: Convert to fraction form
    533,952,030.40/800,928,045.60 = 533,952,030.40/x
  3. Step 3: Cross multiply
    533,952,030.40x = 800,928,045.60 × 533,952,030.40
  4. Step 4: Simplify right side
    533,952,030.40x = 427,657,156,152,423,808
  5. Step 5: Solve for x
    x = 427,657,156,152,423,808/533,952,030.40
  6. Step 6: Final answer
    x = 800,928,045.60

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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.