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Finding the Fourth Proportional to 52,442,577,905.40, 78,663,866,858.10 and 52,442,577,905.40

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Solution

The fourth proportional to 52,442,577,905.40, 78,663,866,858.10 and 52,442,577,905.40 is: 78,663,866,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,442,577,905.40 : 78,663,866,858.10 = 52,442,577,905.40 : x
  2. Step 2: Convert to fraction form
    52,442,577,905.40/78,663,866,858.10 = 52,442,577,905.40/x
  3. Step 3: Cross multiply
    52,442,577,905.40x = 78,663,866,858.10 × 52,442,577,905.40
  4. Step 4: Simplify right side
    52,442,577,905.40x = 4,125,335,966,045,922,918,400
  5. Step 5: Solve for x
    x = 4,125,335,966,045,922,918,400/52,442,577,905.40
  6. Step 6: Final answer
    x = 78,663,866,858.10

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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.