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Finding the Fourth Proportional to 1,564,894,059.16, 2,159,602,400.34 and 860,033,232.04

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Solution

The fourth proportional to 1,564,894,059.16, 2,159,602,400.34 and 860,033,232.04 is: 1,186,872,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,894,059.16 : 2,159,602,400.34 = 860,033,232.04 : x
  2. Step 2: Convert to fraction form
    1,564,894,059.16/2,159,602,400.34 = 860,033,232.04/x
  3. Step 3: Cross multiply
    1,564,894,059.16x = 2,159,602,400.34 × 860,033,232.04
  4. Step 4: Simplify right side
    1,564,894,059.16x = 1,857,329,832,285,752,320
  5. Step 5: Solve for x
    x = 1,857,329,832,285,752,320/1,564,894,059.16
  6. Step 6: Final answer
    x = 1,186,872,569.05

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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.