Finding the Fourth Proportional to 1,495,742,477.70, 2,243,659,424.16 and 513,155,234.09
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Solution
The fourth proportional to 1,495,742,477.70, 2,243,659,424.16 and 513,155,234.09 is: 769,748,532.37
Step by Step Solution
- Step 1: Write the proportion equation
1,495,742,477.70 : 2,243,659,424.16 = 513,155,234.09 : x - Step 2: Convert to fraction form
1,495,742,477.70/2,243,659,424.16 = 513,155,234.09/x - Step 3: Cross multiply
1,495,742,477.70x = 2,243,659,424.16 × 513,155,234.09 - Step 4: Simplify right side
1,495,742,477.70x = 1,151,345,577,011,841,024 - Step 5: Solve for x
x = 1,151,345,577,011,841,024/1,495,742,477.70 - Step 6: Final answer
x = 769,748,532.37
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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.