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Finding the Fourth Proportional to 749,881,973.40, 1,047,251,959.50 and 749,881,973.40

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Solution

The fourth proportional to 749,881,973.40, 1,047,251,959.50 and 749,881,973.40 is: 1,047,251,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,881,973.40 : 1,047,251,959.50 = 749,881,973.40 : x
  2. Step 2: Convert to fraction form
    749,881,973.40/1,047,251,959.50 = 749,881,973.40/x
  3. Step 3: Cross multiply
    749,881,973.40x = 1,047,251,959.50 × 749,881,973.40
  4. Step 4: Simplify right side
    749,881,973.40x = 785,315,366,036,876,800
  5. Step 5: Solve for x
    x = 785,315,366,036,876,800/749,881,973.40
  6. Step 6: Final answer
    x = 1,047,251,959.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.