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Finding the Fourth Proportional to 1,416,934,943,979.90, 2,125,402,415,969.90 and 1,416,934,943,979.90

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Solution

The fourth proportional to 1,416,934,943,979.90, 2,125,402,415,969.90 and 1,416,934,943,979.90 is: 2,125,402,415,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,934,943,979.90 : 2,125,402,415,969.90 = 1,416,934,943,979.90 : x
  2. Step 2: Convert to fraction form
    1,416,934,943,979.90/2,125,402,415,969.90 = 1,416,934,943,979.90/x
  3. Step 3: Cross multiply
    1,416,934,943,979.90x = 2,125,402,415,969.90 × 1,416,934,943,979.90
  4. Step 4: Simplify right side
    1,416,934,943,979.90x = 3,011,556,953,207,053,796,507,648
  5. Step 5: Solve for x
    x = 3,011,556,953,207,053,796,507,648/1,416,934,943,979.90
  6. Step 6: Final answer
    x = 2,125,402,415,969.90

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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.