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Finding the Fourth Proportional to 1,057,671,063.90, 1,586,506,595.85 and 1,057,671,063.90

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Solution

The fourth proportional to 1,057,671,063.90, 1,586,506,595.85 and 1,057,671,063.90 is: 1,586,506,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,671,063.90 : 1,586,506,595.85 = 1,057,671,063.90 : x
  2. Step 2: Convert to fraction form
    1,057,671,063.90/1,586,506,595.85 = 1,057,671,063.90/x
  3. Step 3: Cross multiply
    1,057,671,063.90x = 1,586,506,595.85 × 1,057,671,063.90
  4. Step 4: Simplify right side
    1,057,671,063.90x = 1,678,002,119,117,036,800
  5. Step 5: Solve for x
    x = 1,678,002,119,117,036,800/1,057,671,063.90
  6. Step 6: Final answer
    x = 1,586,506,595.85

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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.