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Finding the Fourth Proportional to 495,037,291,503.60, 742,555,937,255.40 and 495,037,291,503.60

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Solution

The fourth proportional to 495,037,291,503.60, 742,555,937,255.40 and 495,037,291,503.60 is: 742,555,937,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,037,291,503.60 : 742,555,937,255.40 = 495,037,291,503.60 : x
  2. Step 2: Convert to fraction form
    495,037,291,503.60/742,555,937,255.40 = 495,037,291,503.60/x
  3. Step 3: Cross multiply
    495,037,291,503.60x = 742,555,937,255.40 × 495,037,291,503.60
  4. Step 4: Simplify right side
    495,037,291,503.60x = 367,592,879,968,830,332,338,176
  5. Step 5: Solve for x
    x = 367,592,879,968,830,332,338,176/495,037,291,503.60
  6. Step 6: Final answer
    x = 742,555,937,255.40

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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.