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Finding the Fourth Proportional to 859,506,783.15, 1,289,260,174.73 and 859,506,783.15

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Solution

The fourth proportional to 859,506,783.15, 1,289,260,174.73 and 859,506,783.15 is: 1,289,260,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,506,783.15 : 1,289,260,174.73 = 859,506,783.15 : x
  2. Step 2: Convert to fraction form
    859,506,783.15/1,289,260,174.73 = 859,506,783.15/x
  3. Step 3: Cross multiply
    859,506,783.15x = 1,289,260,174.73 × 859,506,783.15
  4. Step 4: Simplify right side
    859,506,783.15x = 1,108,127,865,421,291,520
  5. Step 5: Solve for x
    x = 1,108,127,865,421,291,520/859,506,783.15
  6. Step 6: Final answer
    x = 1,289,260,174.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.