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Finding the Fourth Proportional to 700,097,714.90, 1,050,146,572.35 and 700,097,714.90

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Solution

The fourth proportional to 700,097,714.90, 1,050,146,572.35 and 700,097,714.90 is: 1,050,146,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,097,714.90 : 1,050,146,572.35 = 700,097,714.90 : x
  2. Step 2: Convert to fraction form
    700,097,714.90/1,050,146,572.35 = 700,097,714.90/x
  3. Step 3: Cross multiply
    700,097,714.90x = 1,050,146,572.35 × 700,097,714.90
  4. Step 4: Simplify right side
    700,097,714.90x = 735,205,215,612,302,464
  5. Step 5: Solve for x
    x = 735,205,215,612,302,464/700,097,714.90
  6. Step 6: Final answer
    x = 1,050,146,572.35

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1.5x scale

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.