Finding the Fourth Proportional to 464,713,024,259.48, 641,297,454,637.74 and 258,955,935,864.44
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Solution
The fourth proportional to 464,713,024,259.48, 641,297,454,637.74 and 258,955,935,864.44 is: 357,355,558,944.85
Step by Step Solution
- Step 1: Write the proportion equation
464,713,024,259.48 : 641,297,454,637.74 = 258,955,935,864.44 : x - Step 2: Convert to fraction form
464,713,024,259.48/641,297,454,637.74 = 258,955,935,864.44/x - Step 3: Cross multiply
464,713,024,259.48x = 641,297,454,637.74 × 258,955,935,864.44 - Step 4: Simplify right side
464,713,024,259.48x = 166,067,782,533,199,230,402,560 - Step 5: Solve for x
x = 166,067,782,533,199,230,402,560/464,713,024,259.48 - Step 6: Final answer
x = 357,355,558,944.85
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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.