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Finding the Fourth Proportional to 1,069,709,728.40, 1,604,564,592.60 and 977,876,723.60

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Solution

The fourth proportional to 1,069,709,728.40, 1,604,564,592.60 and 977,876,723.60 is: 1,466,815,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,709,728.40 : 1,604,564,592.60 = 977,876,723.60 : x
  2. Step 2: Convert to fraction form
    1,069,709,728.40/1,604,564,592.60 = 977,876,723.60/x
  3. Step 3: Cross multiply
    1,069,709,728.40x = 1,604,564,592.60 × 977,876,723.60
  4. Step 4: Simplify right side
    1,069,709,728.40x = 1,569,066,366,616,256,768
  5. Step 5: Solve for x
    x = 1,569,066,366,616,256,768/1,069,709,728.40
  6. Step 6: Final answer
    x = 1,466,815,085.40

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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.