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Finding the Fourth Proportional to 495,037,291,502.70, 742,555,937,254.05 and 495,037,291,502.70

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Solution

The fourth proportional to 495,037,291,502.70, 742,555,937,254.05 and 495,037,291,502.70 is: 742,555,937,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,037,291,502.70 : 742,555,937,254.05 = 495,037,291,502.70 : x
  2. Step 2: Convert to fraction form
    495,037,291,502.70/742,555,937,254.05 = 495,037,291,502.70/x
  3. Step 3: Cross multiply
    495,037,291,502.70x = 742,555,937,254.05 × 495,037,291,502.70
  4. Step 4: Simplify right side
    495,037,291,502.70x = 367,592,879,967,493,792,202,752
  5. Step 5: Solve for x
    x = 367,592,879,967,493,792,202,752/495,037,291,502.70
  6. Step 6: Final answer
    x = 742,555,937,254.05

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