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Finding the Fourth Proportional to 1,569,891,411.79, 2,166,352,533.71 and 865,003,947.01

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Solution

The fourth proportional to 1,569,891,411.79, 2,166,352,533.71 and 865,003,947.01 is: 1,193,651,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,891,411.79 : 2,166,352,533.71 = 865,003,947.01 : x
  2. Step 2: Convert to fraction form
    1,569,891,411.79/2,166,352,533.71 = 865,003,947.01/x
  3. Step 3: Cross multiply
    1,569,891,411.79x = 2,166,352,533.71 × 865,003,947.01
  4. Step 4: Simplify right side
    1,569,891,411.79x = 1,873,903,492,267,810,048
  5. Step 5: Solve for x
    x = 1,873,903,492,267,810,048/1,569,891,411.79
  6. Step 6: Final answer
    x = 1,193,651,661.64

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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.