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Finding the Fourth Proportional to 1,262,461,403.92, 1,742,250,542.05 and 705,544,434.58

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Solution

The fourth proportional to 1,262,461,403.92, 1,742,250,542.05 and 705,544,434.58 is: 973,681,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,461,403.92 : 1,742,250,542.05 = 705,544,434.58 : x
  2. Step 2: Convert to fraction form
    1,262,461,403.92/1,742,250,542.05 = 705,544,434.58/x
  3. Step 3: Cross multiply
    1,262,461,403.92x = 1,742,250,542.05 × 705,544,434.58
  4. Step 4: Simplify right side
    1,262,461,403.92x = 1,229,235,173,587,365,888
  5. Step 5: Solve for x
    x = 1,229,235,173,587,365,888/1,262,461,403.92
  6. Step 6: Final answer
    x = 973,681,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.