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Finding the Fourth Proportional to 870,846,698.24, 1,201,729,676.67 and 508,774,221.14

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Solution

The fourth proportional to 870,846,698.24, 1,201,729,676.67 and 508,774,221.14 is: 702,085,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,846,698.24 : 1,201,729,676.67 = 508,774,221.14 : x
  2. Step 2: Convert to fraction form
    870,846,698.24/1,201,729,676.67 = 508,774,221.14/x
  3. Step 3: Cross multiply
    870,846,698.24x = 1,201,729,676.67 × 508,774,221.14
  4. Step 4: Simplify right side
    870,846,698.24x = 611,409,080,262,594,688
  5. Step 5: Solve for x
    x = 611,409,080,262,594,688/870,846,698.24
  6. Step 6: Final answer
    x = 702,085,776.40

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