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Finding the Fourth Proportional to 1,901,884,811.10, 2,657,196,779.70 and 1,901,884,811.10

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Solution

The fourth proportional to 1,901,884,811.10, 2,657,196,779.70 and 1,901,884,811.10 is: 2,657,196,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,884,811.10 : 2,657,196,779.70 = 1,901,884,811.10 : x
  2. Step 2: Convert to fraction form
    1,901,884,811.10/2,657,196,779.70 = 1,901,884,811.10/x
  3. Step 3: Cross multiply
    1,901,884,811.10x = 2,657,196,779.70 × 1,901,884,811.10
  4. Step 4: Simplify right side
    1,901,884,811.10x = 5,053,682,195,415,262,208
  5. Step 5: Solve for x
    x = 5,053,682,195,415,262,208/1,901,884,811.10
  6. Step 6: Final answer
    x = 2,657,196,779.70

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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.