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Finding the Fourth Proportional to 10,077,709,643.60, 15,116,564,465.40 and 10,077,709,643.60

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Solution

The fourth proportional to 10,077,709,643.60, 15,116,564,465.40 and 10,077,709,643.60 is: 15,116,564,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077,709,643.60 : 15,116,564,465.40 = 10,077,709,643.60 : x
  2. Step 2: Convert to fraction form
    10,077,709,643.60/15,116,564,465.40 = 10,077,709,643.60/x
  3. Step 3: Cross multiply
    10,077,709,643.60x = 15,116,564,465.40 × 10,077,709,643.60
  4. Step 4: Simplify right side
    10,077,709,643.60x = 152,340,347,491,062,644,736
  5. Step 5: Solve for x
    x = 152,340,347,491,062,644,736/10,077,709,643.60
  6. Step 6: Final answer
    x = 15,116,564,465.40

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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.