Finding the Fourth Proportional to 503,697,588,316.40, 695,102,620,538.84 and 275,327,742,305.06
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Solution
The fourth proportional to 503,697,588,316.40, 695,102,620,538.84 and 275,327,742,305.06 is: 379,952,256,319.07
Step by Step Solution
- Step 1: Write the proportion equation
503,697,588,316.40 : 695,102,620,538.84 = 275,327,742,305.06 : x - Step 2: Convert to fraction form
503,697,588,316.40/695,102,620,538.84 = 275,327,742,305.06/x - Step 3: Cross multiply
503,697,588,316.40x = 695,102,620,538.84 × 275,327,742,305.06 - Step 4: Simplify right side
503,697,588,316.40x = 191,381,035,183,289,636,225,024 - Step 5: Solve for x
x = 191,381,035,183,289,636,225,024/503,697,588,316.40 - Step 6: Final answer
x = 379,952,256,319.07
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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.