Finding the Fourth Proportional to 464,713,024,258.48, 641,297,454,636.36 and 258,955,935,863.44
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Solution
The fourth proportional to 464,713,024,258.48, 641,297,454,636.36 and 258,955,935,863.44 is: 357,355,558,943.47
Step by Step Solution
- Step 1: Write the proportion equation
464,713,024,258.48 : 641,297,454,636.36 = 258,955,935,863.44 : x - Step 2: Convert to fraction form
464,713,024,258.48/641,297,454,636.36 = 258,955,935,863.44/x - Step 3: Cross multiply
464,713,024,258.48x = 641,297,454,636.36 × 258,955,935,863.44 - Step 4: Simplify right side
464,713,024,258.48x = 166,067,782,532,200,549,842,944 - Step 5: Solve for x
x = 166,067,782,532,200,549,842,944/464,713,024,258.48 - Step 6: Final answer
x = 357,355,558,943.47
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.